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Finding the Fourth Proportional to 5,878.24, 8,812.98 and 2,542.96

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Solution

The fourth proportional to 5,878.24, 8,812.98 and 2,542.96 is: 3,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.24 : 8,812.98 = 2,542.96 : x
  2. Step 2: Convert to fraction form
    5,878.24/8,812.98 = 2,542.96/x
  3. Step 3: Cross multiply
    5,878.24x = 8,812.98 × 2,542.96
  4. Step 4: Simplify right side
    5,878.24x = 22,411,055.62
  5. Step 5: Solve for x
    x = 22,411,055.62/5,878.24
  6. Step 6: Final answer
    x = 3,812.55

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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.