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Finding the Fourth Proportional to 5,024.86, 7,537.47 and 2,099.14

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Solution

The fourth proportional to 5,024.86, 7,537.47 and 2,099.14 is: 3,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.86 : 7,537.47 = 2,099.14 : x
  2. Step 2: Convert to fraction form
    5,024.86/7,537.47 = 2,099.14/x
  3. Step 3: Cross multiply
    5,024.86x = 7,537.47 × 2,099.14
  4. Step 4: Simplify right side
    5,024.86x = 15,822,204.78
  5. Step 5: Solve for x
    x = 15,822,204.78/5,024.86
  6. Step 6: Final answer
    x = 3,148.79

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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.