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Finding the Fourth Proportional to 5,806.70, 8,013.14 and 3,154.08

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Solution

The fourth proportional to 5,806.70, 8,013.14 and 3,154.08 is: 4,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.70 : 8,013.14 = 3,154.08 : x
  2. Step 2: Convert to fraction form
    5,806.70/8,013.14 = 3,154.08/x
  3. Step 3: Cross multiply
    5,806.70x = 8,013.14 × 3,154.08
  4. Step 4: Simplify right side
    5,806.70x = 25,274,084.61
  5. Step 5: Solve for x
    x = 25,274,084.61/5,806.70
  6. Step 6: Final answer
    x = 4,352.57

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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.