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Finding the Fourth Proportional to 6,260.68, 8,639.14 and 3,742.29

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Solution

The fourth proportional to 6,260.68, 8,639.14 and 3,742.29 is: 5,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.68 : 8,639.14 = 3,742.29 : x
  2. Step 2: Convert to fraction form
    6,260.68/8,639.14 = 3,742.29/x
  3. Step 3: Cross multiply
    6,260.68x = 8,639.14 × 3,742.29
  4. Step 4: Simplify right side
    6,260.68x = 32,330,167.23
  5. Step 5: Solve for x
    x = 32,330,167.23/6,260.68
  6. Step 6: Final answer
    x = 5,164.00

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