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Finding the Fourth Proportional to 3,523.52, 4,862.16 and 2,197.52

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Solution

The fourth proportional to 3,523.52, 4,862.16 and 2,197.52 is: 3,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.52 : 4,862.16 = 2,197.52 : x
  2. Step 2: Convert to fraction form
    3,523.52/4,862.16 = 2,197.52/x
  3. Step 3: Cross multiply
    3,523.52x = 4,862.16 × 2,197.52
  4. Step 4: Simplify right side
    3,523.52x = 10,684,693.84
  5. Step 5: Solve for x
    x = 10,684,693.84/3,523.52
  6. Step 6: Final answer
    x = 3,032.39

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1.5x scale

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.