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Finding the Fourth Proportional to 5,098.38, 7,646.66 and 1,400.12

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Solution

The fourth proportional to 5,098.38, 7,646.66 and 1,400.12 is: 2,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.38 : 7,646.66 = 1,400.12 : x
  2. Step 2: Convert to fraction form
    5,098.38/7,646.66 = 1,400.12/x
  3. Step 3: Cross multiply
    5,098.38x = 7,646.66 × 1,400.12
  4. Step 4: Simplify right side
    5,098.38x = 10,706,253.72
  5. Step 5: Solve for x
    x = 10,706,253.72/5,098.38
  6. Step 6: Final answer
    x = 2,099.93

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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.