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Finding the Fourth Proportional to 5,876.04, 8,813.92 and 2,587.16

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Solution

The fourth proportional to 5,876.04, 8,813.92 and 2,587.16 is: 3,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.04 : 8,813.92 = 2,587.16 : x
  2. Step 2: Convert to fraction form
    5,876.04/8,813.92 = 2,587.16/x
  3. Step 3: Cross multiply
    5,876.04x = 8,813.92 × 2,587.16
  4. Step 4: Simplify right side
    5,876.04x = 22,803,021.27
  5. Step 5: Solve for x
    x = 22,803,021.27/5,876.04
  6. Step 6: Final answer
    x = 3,880.68

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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.