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Finding the Fourth Proportional to 4,354.46, 6,532.47 and 1,585.01

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Solution

The fourth proportional to 4,354.46, 6,532.47 and 1,585.01 is: 2,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.46 : 6,532.47 = 1,585.01 : x
  2. Step 2: Convert to fraction form
    4,354.46/6,532.47 = 1,585.01/x
  3. Step 3: Cross multiply
    4,354.46x = 6,532.47 × 1,585.01
  4. Step 4: Simplify right side
    4,354.46x = 10,353,997.61
  5. Step 5: Solve for x
    x = 10,353,997.61/4,354.46
  6. Step 6: Final answer
    x = 2,377.79

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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.