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Finding the Fourth Proportional to 4,141.78, 5,713.28 and 2,549.22

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Solution

The fourth proportional to 4,141.78, 5,713.28 and 2,549.22 is: 3,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.78 : 5,713.28 = 2,549.22 : x
  2. Step 2: Convert to fraction form
    4,141.78/5,713.28 = 2,549.22/x
  3. Step 3: Cross multiply
    4,141.78x = 5,713.28 × 2,549.22
  4. Step 4: Simplify right side
    4,141.78x = 14,564,429.51
  5. Step 5: Solve for x
    x = 14,564,429.51/4,141.78
  6. Step 6: Final answer
    x = 3,516.46

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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.