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Finding the Fourth Proportional to 4,146.77, 5,718.15 and 3,202.71

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Solution

The fourth proportional to 4,146.77, 5,718.15 and 3,202.71 is: 4,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.77 : 5,718.15 = 3,202.71 : x
  2. Step 2: Convert to fraction form
    4,146.77/5,718.15 = 3,202.71/x
  3. Step 3: Cross multiply
    4,146.77x = 5,718.15 × 3,202.71
  4. Step 4: Simplify right side
    4,146.77x = 18,313,576.19
  5. Step 5: Solve for x
    x = 18,313,576.19/4,146.77
  6. Step 6: Final answer
    x = 4,416.35

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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.