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Finding the Fourth Proportional to 5,665.87, 8,487.87 and 2,746.23

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Solution

The fourth proportional to 5,665.87, 8,487.87 and 2,746.23 is: 4,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.87 : 8,487.87 = 2,746.23 : x
  2. Step 2: Convert to fraction form
    5,665.87/8,487.87 = 2,746.23/x
  3. Step 3: Cross multiply
    5,665.87x = 8,487.87 × 2,746.23
  4. Step 4: Simplify right side
    5,665.87x = 23,309,643.23
  5. Step 5: Solve for x
    x = 23,309,643.23/5,665.87
  6. Step 6: Final answer
    x = 4,114.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.