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Finding the Fourth Proportional to 3,541.52, 5,306.52 and 2,563.04

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Solution

The fourth proportional to 3,541.52, 5,306.52 and 2,563.04 is: 3,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.52 : 5,306.52 = 2,563.04 : x
  2. Step 2: Convert to fraction form
    3,541.52/5,306.52 = 2,563.04/x
  3. Step 3: Cross multiply
    3,541.52x = 5,306.52 × 2,563.04
  4. Step 4: Simplify right side
    3,541.52x = 13,600,823.02
  5. Step 5: Solve for x
    x = 13,600,823.02/3,541.52
  6. Step 6: Final answer
    x = 3,840.39

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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.