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Finding the Fourth Proportional to 3,732.64, 5,595.18 and 1,653.76

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Solution

The fourth proportional to 3,732.64, 5,595.18 and 1,653.76 is: 2,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.64 : 5,595.18 = 1,653.76 : x
  2. Step 2: Convert to fraction form
    3,732.64/5,595.18 = 1,653.76/x
  3. Step 3: Cross multiply
    3,732.64x = 5,595.18 × 1,653.76
  4. Step 4: Simplify right side
    3,732.64x = 9,253,084.88
  5. Step 5: Solve for x
    x = 9,253,084.88/3,732.64
  6. Step 6: Final answer
    x = 2,478.97

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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.