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Finding the Fourth Proportional to 3,886.56, 5,360.64 and 2,561.28

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Solution

The fourth proportional to 3,886.56, 5,360.64 and 2,561.28 is: 3,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.56 : 5,360.64 = 2,561.28 : x
  2. Step 2: Convert to fraction form
    3,886.56/5,360.64 = 2,561.28/x
  3. Step 3: Cross multiply
    3,886.56x = 5,360.64 × 2,561.28
  4. Step 4: Simplify right side
    3,886.56x = 13,730,100.02
  5. Step 5: Solve for x
    x = 13,730,100.02/3,886.56
  6. Step 6: Final answer
    x = 3,532.71

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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.