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Finding the Fourth Proportional to 5,909.93, 8,866.54 and 2,578.47

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Solution

The fourth proportional to 5,909.93, 8,866.54 and 2,578.47 is: 3,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.93 : 8,866.54 = 2,578.47 : x
  2. Step 2: Convert to fraction form
    5,909.93/8,866.54 = 2,578.47/x
  3. Step 3: Cross multiply
    5,909.93x = 8,866.54 × 2,578.47
  4. Step 4: Simplify right side
    5,909.93x = 22,862,107.39
  5. Step 5: Solve for x
    x = 22,862,107.39/5,909.93
  6. Step 6: Final answer
    x = 3,868.42

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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.