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Finding the Fourth Proportional to 5,854.14, 8,782.62 and 2,391.39

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Solution

The fourth proportional to 5,854.14, 8,782.62 and 2,391.39 is: 3,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.14 : 8,782.62 = 2,391.39 : x
  2. Step 2: Convert to fraction form
    5,854.14/8,782.62 = 2,391.39/x
  3. Step 3: Cross multiply
    5,854.14x = 8,782.62 × 2,391.39
  4. Step 4: Simplify right side
    5,854.14x = 21,002,669.64
  5. Step 5: Solve for x
    x = 21,002,669.64/5,854.14
  6. Step 6: Final answer
    x = 3,587.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.