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Finding the Fourth Proportional to 3,254.38, 4,493.08 and 2,506.92

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Solution

The fourth proportional to 3,254.38, 4,493.08 and 2,506.92 is: 3,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.38 : 4,493.08 = 2,506.92 : x
  2. Step 2: Convert to fraction form
    3,254.38/4,493.08 = 2,506.92/x
  3. Step 3: Cross multiply
    3,254.38x = 4,493.08 × 2,506.92
  4. Step 4: Simplify right side
    3,254.38x = 11,263,792.11
  5. Step 5: Solve for x
    x = 11,263,792.11/3,254.38
  6. Step 6: Final answer
    x = 3,461.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.