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Finding the Fourth Proportional to 5,854.93, 8,078.91 and 3,302.57

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Solution

The fourth proportional to 5,854.93, 8,078.91 and 3,302.57 is: 4,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.93 : 8,078.91 = 3,302.57 : x
  2. Step 2: Convert to fraction form
    5,854.93/8,078.91 = 3,302.57/x
  3. Step 3: Cross multiply
    5,854.93x = 8,078.91 × 3,302.57
  4. Step 4: Simplify right side
    5,854.93x = 26,681,165.80
  5. Step 5: Solve for x
    x = 26,681,165.80/5,854.93
  6. Step 6: Final answer
    x = 4,557.04

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