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Finding the Fourth Proportional to 6,182,978.08, 8,532,646.49 and 3,429,575.81

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Solution

The fourth proportional to 6,182,978.08, 8,532,646.49 and 3,429,575.81 is: 4,732,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,978.08 : 8,532,646.49 = 3,429,575.81 : x
  2. Step 2: Convert to fraction form
    6,182,978.08/8,532,646.49 = 3,429,575.81/x
  3. Step 3: Cross multiply
    6,182,978.08x = 8,532,646.49 × 3,429,575.81
  4. Step 4: Simplify right side
    6,182,978.08x = 29,263,358,027,290.96
  5. Step 5: Solve for x
    x = 29,263,358,027,290.96/6,182,978.08
  6. Step 6: Final answer
    x = 4,732,890.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.