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Finding the Fourth Proportional to 3,642.46, 5,463.69 and 1,562.29

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Solution

The fourth proportional to 3,642.46, 5,463.69 and 1,562.29 is: 2,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.46 : 5,463.69 = 1,562.29 : x
  2. Step 2: Convert to fraction form
    3,642.46/5,463.69 = 1,562.29/x
  3. Step 3: Cross multiply
    3,642.46x = 5,463.69 × 1,562.29
  4. Step 4: Simplify right side
    3,642.46x = 8,535,868.25
  5. Step 5: Solve for x
    x = 8,535,868.25/3,642.46
  6. Step 6: Final answer
    x = 2,343.44

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1.5x scale

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.