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Finding the Fourth Proportional to 3,886.53, 5,364.24 and 2,560.35

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Solution

The fourth proportional to 3,886.53, 5,364.24 and 2,560.35 is: 3,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.53 : 5,364.24 = 2,560.35 : x
  2. Step 2: Convert to fraction form
    3,886.53/5,364.24 = 2,560.35/x
  3. Step 3: Cross multiply
    3,886.53x = 5,364.24 × 2,560.35
  4. Step 4: Simplify right side
    3,886.53x = 13,734,331.88
  5. Step 5: Solve for x
    x = 13,734,331.88/3,886.53
  6. Step 6: Final answer
    x = 3,533.83

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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.