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Finding the Fourth Proportional to 5,098.62, 7,637.54 and 4,673.37

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Solution

The fourth proportional to 5,098.62, 7,637.54 and 4,673.37 is: 7,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.62 : 7,637.54 = 4,673.37 : x
  2. Step 2: Convert to fraction form
    5,098.62/7,637.54 = 4,673.37/x
  3. Step 3: Cross multiply
    5,098.62x = 7,637.54 × 4,673.37
  4. Step 4: Simplify right side
    5,098.62x = 35,693,012.12
  5. Step 5: Solve for x
    x = 35,693,012.12/5,098.62
  6. Step 6: Final answer
    x = 7,000.53

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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.