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Finding the Fourth Proportional to 3,658.78, 5,488.41 and 1,061.50

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Solution

The fourth proportional to 3,658.78, 5,488.41 and 1,061.50 is: 1,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.78 : 5,488.41 = 1,061.50 : x
  2. Step 2: Convert to fraction form
    3,658.78/5,488.41 = 1,061.50/x
  3. Step 3: Cross multiply
    3,658.78x = 5,488.41 × 1,061.50
  4. Step 4: Simplify right side
    3,658.78x = 5,825,947.22
  5. Step 5: Solve for x
    x = 5,825,947.22/3,658.78
  6. Step 6: Final answer
    x = 1,592.32

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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.