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Finding the Fourth Proportional to 5,853.14, 8,780.88 and 2,155.38

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Solution

The fourth proportional to 5,853.14, 8,780.88 and 2,155.38 is: 3,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.14 : 8,780.88 = 2,155.38 : x
  2. Step 2: Convert to fraction form
    5,853.14/8,780.88 = 2,155.38/x
  3. Step 3: Cross multiply
    5,853.14x = 8,780.88 × 2,155.38
  4. Step 4: Simplify right side
    5,853.14x = 18,926,176.32
  5. Step 5: Solve for x
    x = 18,926,176.32/5,853.14
  6. Step 6: Final answer
    x = 3,233.51

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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.