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Finding the Fourth Proportional to 3,642.56, 5,463.04 and 1,045.44

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Solution

The fourth proportional to 3,642.56, 5,463.04 and 1,045.44 is: 1,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.56 : 5,463.04 = 1,045.44 : x
  2. Step 2: Convert to fraction form
    3,642.56/5,463.04 = 1,045.44/x
  3. Step 3: Cross multiply
    3,642.56x = 5,463.04 × 1,045.44
  4. Step 4: Simplify right side
    3,642.56x = 5,711,280.54
  5. Step 5: Solve for x
    x = 5,711,280.54/3,642.56
  6. Step 6: Final answer
    x = 1,567.93

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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.