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Finding the Fourth Proportional to 5,944.52, 8,916.12 and 1,562.48

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Solution

The fourth proportional to 5,944.52, 8,916.12 and 1,562.48 is: 2,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.52 : 8,916.12 = 1,562.48 : x
  2. Step 2: Convert to fraction form
    5,944.52/8,916.12 = 1,562.48/x
  3. Step 3: Cross multiply
    5,944.52x = 8,916.12 × 1,562.48
  4. Step 4: Simplify right side
    5,944.52x = 13,931,259.18
  5. Step 5: Solve for x
    x = 13,931,259.18/5,944.52
  6. Step 6: Final answer
    x = 2,343.55

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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.