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Finding the Fourth Proportional to 3,861.64, 5,329.02 and 2,289.76

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Solution

The fourth proportional to 3,861.64, 5,329.02 and 2,289.76 is: 3,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.64 : 5,329.02 = 2,289.76 : x
  2. Step 2: Convert to fraction form
    3,861.64/5,329.02 = 2,289.76/x
  3. Step 3: Cross multiply
    3,861.64x = 5,329.02 × 2,289.76
  4. Step 4: Simplify right side
    3,861.64x = 12,202,176.84
  5. Step 5: Solve for x
    x = 12,202,176.84/3,861.64
  6. Step 6: Final answer
    x = 3,159.84

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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.