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Finding the Fourth Proportional to 3,863.68, 5,330.52 and 2,538.16

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Solution

The fourth proportional to 3,863.68, 5,330.52 and 2,538.16 is: 3,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.68 : 5,330.52 = 2,538.16 : x
  2. Step 2: Convert to fraction form
    3,863.68/5,330.52 = 2,538.16/x
  3. Step 3: Cross multiply
    3,863.68x = 5,330.52 × 2,538.16
  4. Step 4: Simplify right side
    3,863.68x = 13,529,712.64
  5. Step 5: Solve for x
    x = 13,529,712.64/3,863.68
  6. Step 6: Final answer
    x = 3,501.77

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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.