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Finding the Fourth Proportional to 5,740.92, 8,612.24 and 2,454

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Solution

The fourth proportional to 5,740.92, 8,612.24 and 2,454 is: 3,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.92 : 8,612.24 = 2,454 : x
  2. Step 2: Convert to fraction form
    5,740.92/8,612.24 = 2,454/x
  3. Step 3: Cross multiply
    5,740.92x = 8,612.24 × 2,454
  4. Step 4: Simplify right side
    5,740.92x = 21,134,436.96
  5. Step 5: Solve for x
    x = 21,134,436.96/5,740.92
  6. Step 6: Final answer
    x = 3,681.37

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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.