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Finding the Fourth Proportional to 5,097.55, 7,024.08 and 4,098.82

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Solution

The fourth proportional to 5,097.55, 7,024.08 and 4,098.82 is: 5,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.55 : 7,024.08 = 4,098.82 : x
  2. Step 2: Convert to fraction form
    5,097.55/7,024.08 = 4,098.82/x
  3. Step 3: Cross multiply
    5,097.55x = 7,024.08 × 4,098.82
  4. Step 4: Simplify right side
    5,097.55x = 28,790,439.59
  5. Step 5: Solve for x
    x = 28,790,439.59/5,097.55
  6. Step 6: Final answer
    x = 5,647.90

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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.