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Finding the Fourth Proportional to 5,104.71, 7,649.87 and 4,060.08

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Solution

The fourth proportional to 5,104.71, 7,649.87 and 4,060.08 is: 6,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.71 : 7,649.87 = 4,060.08 : x
  2. Step 2: Convert to fraction form
    5,104.71/7,649.87 = 4,060.08/x
  3. Step 3: Cross multiply
    5,104.71x = 7,649.87 × 4,060.08
  4. Step 4: Simplify right side
    5,104.71x = 31,059,025.64
  5. Step 5: Solve for x
    x = 31,059,025.64/5,104.71
  6. Step 6: Final answer
    x = 6,084.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.