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Finding the Fourth Proportional to 5,098.12, 7,648.06 and 1,587.87

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Solution

The fourth proportional to 5,098.12, 7,648.06 and 1,587.87 is: 2,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.12 : 7,648.06 = 1,587.87 : x
  2. Step 2: Convert to fraction form
    5,098.12/7,648.06 = 1,587.87/x
  3. Step 3: Cross multiply
    5,098.12x = 7,648.06 × 1,587.87
  4. Step 4: Simplify right side
    5,098.12x = 12,144,125.03
  5. Step 5: Solve for x
    x = 12,144,125.03/5,098.12
  6. Step 6: Final answer
    x = 2,382.08

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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.