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Finding the Fourth Proportional to 5,187.48, 7,778.64 and 2,411.88

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Solution

The fourth proportional to 5,187.48, 7,778.64 and 2,411.88 is: 3,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.48 : 7,778.64 = 2,411.88 : x
  2. Step 2: Convert to fraction form
    5,187.48/7,778.64 = 2,411.88/x
  3. Step 3: Cross multiply
    5,187.48x = 7,778.64 × 2,411.88
  4. Step 4: Simplify right side
    5,187.48x = 18,761,146.24
  5. Step 5: Solve for x
    x = 18,761,146.24/5,187.48
  6. Step 6: Final answer
    x = 3,616.62

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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.