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Finding the Fourth Proportional to 5,648,674.08, 7,795,339.65 and 3,201,289.86

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Solution

The fourth proportional to 5,648,674.08, 7,795,339.65 and 3,201,289.86 is: 4,417,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648,674.08 : 7,795,339.65 = 3,201,289.86 : x
  2. Step 2: Convert to fraction form
    5,648,674.08/7,795,339.65 = 3,201,289.86/x
  3. Step 3: Cross multiply
    5,648,674.08x = 7,795,339.65 × 3,201,289.86
  4. Step 4: Simplify right side
    5,648,674.08x = 24,955,141,776,800.95
  5. Step 5: Solve for x
    x = 24,955,141,776,800.95/5,648,674.08
  6. Step 6: Final answer
    x = 4,417,876.02

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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.