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Finding the Fourth Proportional to 3,565.88, 4,923.14 and 3,187.07

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Solution

The fourth proportional to 3,565.88, 4,923.14 and 3,187.07 is: 4,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.88 : 4,923.14 = 3,187.07 : x
  2. Step 2: Convert to fraction form
    3,565.88/4,923.14 = 3,187.07/x
  3. Step 3: Cross multiply
    3,565.88x = 4,923.14 × 3,187.07
  4. Step 4: Simplify right side
    3,565.88x = 15,690,391.80
  5. Step 5: Solve for x
    x = 15,690,391.80/3,565.88
  6. Step 6: Final answer
    x = 4,400.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.