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Finding the Fourth Proportional to 5,098.05, 7,646.65 and 1,587.91

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Solution

The fourth proportional to 5,098.05, 7,646.65 and 1,587.91 is: 2,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.05 : 7,646.65 = 1,587.91 : x
  2. Step 2: Convert to fraction form
    5,098.05/7,646.65 = 1,587.91/x
  3. Step 3: Cross multiply
    5,098.05x = 7,646.65 × 1,587.91
  4. Step 4: Simplify right side
    5,098.05x = 12,142,192.00
  5. Step 5: Solve for x
    x = 12,142,192.00/5,098.05
  6. Step 6: Final answer
    x = 2,381.73

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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.