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Finding the Fourth Proportional to 3,861.64, 5,329.03 and 2,160.13

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Solution

The fourth proportional to 3,861.64, 5,329.03 and 2,160.13 is: 2,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.64 : 5,329.03 = 2,160.13 : x
  2. Step 2: Convert to fraction form
    3,861.64/5,329.03 = 2,160.13/x
  3. Step 3: Cross multiply
    3,861.64x = 5,329.03 × 2,160.13
  4. Step 4: Simplify right side
    3,861.64x = 11,511,381.55
  5. Step 5: Solve for x
    x = 11,511,381.55/3,861.64
  6. Step 6: Final answer
    x = 2,980.96

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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.