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Finding the Fourth Proportional to 5,854.72, 8,780.33 and 3,185.87

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Solution

The fourth proportional to 5,854.72, 8,780.33 and 3,185.87 is: 4,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.72 : 8,780.33 = 3,185.87 : x
  2. Step 2: Convert to fraction form
    5,854.72/8,780.33 = 3,185.87/x
  3. Step 3: Cross multiply
    5,854.72x = 8,780.33 × 3,185.87
  4. Step 4: Simplify right side
    5,854.72x = 27,972,989.94
  5. Step 5: Solve for x
    x = 27,972,989.94/5,854.72
  6. Step 6: Final answer
    x = 4,777.85

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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.