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Finding the Fourth Proportional to 3,909.66, 5,856.33 and 2,344.70

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Solution

The fourth proportional to 3,909.66, 5,856.33 and 2,344.70 is: 3,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.66 : 5,856.33 = 2,344.70 : x
  2. Step 2: Convert to fraction form
    3,909.66/5,856.33 = 2,344.70/x
  3. Step 3: Cross multiply
    3,909.66x = 5,856.33 × 2,344.70
  4. Step 4: Simplify right side
    3,909.66x = 13,731,336.95
  5. Step 5: Solve for x
    x = 13,731,336.95/3,909.66
  6. Step 6: Final answer
    x = 3,512.16

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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.