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Finding the Fourth Proportional to 3,886.72, 5,360.64 and 2,489.60

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Solution

The fourth proportional to 3,886.72, 5,360.64 and 2,489.60 is: 3,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.72 : 5,360.64 = 2,489.60 : x
  2. Step 2: Convert to fraction form
    3,886.72/5,360.64 = 2,489.60/x
  3. Step 3: Cross multiply
    3,886.72x = 5,360.64 × 2,489.60
  4. Step 4: Simplify right side
    3,886.72x = 13,345,849.34
  5. Step 5: Solve for x
    x = 13,345,849.34/3,886.72
  6. Step 6: Final answer
    x = 3,433.70

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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.