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Finding the Fourth Proportional to 3,549.92, 4,895.52 and 2,561.60

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Solution

The fourth proportional to 3,549.92, 4,895.52 and 2,561.60 is: 3,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.92 : 4,895.52 = 2,561.60 : x
  2. Step 2: Convert to fraction form
    3,549.92/4,895.52 = 2,561.60/x
  3. Step 3: Cross multiply
    3,549.92x = 4,895.52 × 2,561.60
  4. Step 4: Simplify right side
    3,549.92x = 12,540,364.03
  5. Step 5: Solve for x
    x = 12,540,364.03/3,549.92
  6. Step 6: Final answer
    x = 3,532.58

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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.