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Finding the Fourth Proportional to 5,877.24, 8,815.92 and 1,494.70

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Solution

The fourth proportional to 5,877.24, 8,815.92 and 1,494.70 is: 2,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.24 : 8,815.92 = 1,494.70 : x
  2. Step 2: Convert to fraction form
    5,877.24/8,815.92 = 1,494.70/x
  3. Step 3: Cross multiply
    5,877.24x = 8,815.92 × 1,494.70
  4. Step 4: Simplify right side
    5,877.24x = 13,177,132.18
  5. Step 5: Solve for x
    x = 13,177,132.18/5,877.24
  6. Step 6: Final answer
    x = 2,242.06

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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.