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Finding the Fourth Proportional to 3,591.78, 5,386.44 and 1,642.92

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Solution

The fourth proportional to 3,591.78, 5,386.44 and 1,642.92 is: 2,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.78 : 5,386.44 = 1,642.92 : x
  2. Step 2: Convert to fraction form
    3,591.78/5,386.44 = 1,642.92/x
  3. Step 3: Cross multiply
    3,591.78x = 5,386.44 × 1,642.92
  4. Step 4: Simplify right side
    3,591.78x = 8,849,490.00
  5. Step 5: Solve for x
    x = 8,849,490.00/3,591.78
  6. Step 6: Final answer
    x = 2,463.82

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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.