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Finding the Fourth Proportional to 5,098.60, 7,647.90 and 3,125.80

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Solution

The fourth proportional to 5,098.60, 7,647.90 and 3,125.80 is: 4,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.60 : 7,647.90 = 3,125.80 : x
  2. Step 2: Convert to fraction form
    5,098.60/7,647.90 = 3,125.80/x
  3. Step 3: Cross multiply
    5,098.60x = 7,647.90 × 3,125.80
  4. Step 4: Simplify right side
    5,098.60x = 23,905,805.82
  5. Step 5: Solve for x
    x = 23,905,805.82/5,098.60
  6. Step 6: Final answer
    x = 4,688.70

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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.