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Finding the Fourth Proportional to 5,876.40, 8,815.13 and 2,588.71

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Solution

The fourth proportional to 5,876.40, 8,815.13 and 2,588.71 is: 3,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.40 : 8,815.13 = 2,588.71 : x
  2. Step 2: Convert to fraction form
    5,876.40/8,815.13 = 2,588.71/x
  3. Step 3: Cross multiply
    5,876.40x = 8,815.13 × 2,588.71
  4. Step 4: Simplify right side
    5,876.40x = 22,819,815.18
  5. Step 5: Solve for x
    x = 22,819,815.18/5,876.40
  6. Step 6: Final answer
    x = 3,883.30

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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.