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Finding the Fourth Proportional to 5,104.91, 7,657.89 and 1,407.14

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Solution

The fourth proportional to 5,104.91, 7,657.89 and 1,407.14 is: 2,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.91 : 7,657.89 = 1,407.14 : x
  2. Step 2: Convert to fraction form
    5,104.91/7,657.89 = 1,407.14/x
  3. Step 3: Cross multiply
    5,104.91x = 7,657.89 × 1,407.14
  4. Step 4: Simplify right side
    5,104.91x = 10,775,685.05
  5. Step 5: Solve for x
    x = 10,775,685.05/5,104.91
  6. Step 6: Final answer
    x = 2,110.85

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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.