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Finding the Fourth Proportional to 6,152.28, 8,489.28 and 3,499.96

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Solution

The fourth proportional to 6,152.28, 8,489.28 and 3,499.96 is: 4,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.28 : 8,489.28 = 3,499.96 : x
  2. Step 2: Convert to fraction form
    6,152.28/8,489.28 = 3,499.96/x
  3. Step 3: Cross multiply
    6,152.28x = 8,489.28 × 3,499.96
  4. Step 4: Simplify right side
    6,152.28x = 29,712,140.43
  5. Step 5: Solve for x
    x = 29,712,140.43/6,152.28
  6. Step 6: Final answer
    x = 4,829.45

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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.