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Finding the Fourth Proportional to 5,402.71, 8,105.75 and 4,586.95

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Solution

The fourth proportional to 5,402.71, 8,105.75 and 4,586.95 is: 6,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.71 : 8,105.75 = 4,586.95 : x
  2. Step 2: Convert to fraction form
    5,402.71/8,105.75 = 4,586.95/x
  3. Step 3: Cross multiply
    5,402.71x = 8,105.75 × 4,586.95
  4. Step 4: Simplify right side
    5,402.71x = 37,180,647.03
  5. Step 5: Solve for x
    x = 37,180,647.03/5,402.71
  6. Step 6: Final answer
    x = 6,881.85

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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.