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Finding the Fourth Proportional to 3,447.97, 4,758.65 and 2,566.28

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Solution

The fourth proportional to 3,447.97, 4,758.65 and 2,566.28 is: 3,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.97 : 4,758.65 = 2,566.28 : x
  2. Step 2: Convert to fraction form
    3,447.97/4,758.65 = 2,566.28/x
  3. Step 3: Cross multiply
    3,447.97x = 4,758.65 × 2,566.28
  4. Step 4: Simplify right side
    3,447.97x = 12,212,037.01
  5. Step 5: Solve for x
    x = 12,212,037.01/3,447.97
  6. Step 6: Final answer
    x = 3,541.81

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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.