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Finding the Fourth Proportional to 3,497.82, 5,242.05 and 2,569.02

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Solution

The fourth proportional to 3,497.82, 5,242.05 and 2,569.02 is: 3,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.82 : 5,242.05 = 2,569.02 : x
  2. Step 2: Convert to fraction form
    3,497.82/5,242.05 = 2,569.02/x
  3. Step 3: Cross multiply
    3,497.82x = 5,242.05 × 2,569.02
  4. Step 4: Simplify right side
    3,497.82x = 13,466,931.29
  5. Step 5: Solve for x
    x = 13,466,931.29/3,497.82
  6. Step 6: Final answer
    x = 3,850.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.