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Finding the Fourth Proportional to 3,200.52, 4,801.72 and 2,323.90

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Solution

The fourth proportional to 3,200.52, 4,801.72 and 2,323.90 is: 3,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.52 : 4,801.72 = 2,323.90 : x
  2. Step 2: Convert to fraction form
    3,200.52/4,801.72 = 2,323.90/x
  3. Step 3: Cross multiply
    3,200.52x = 4,801.72 × 2,323.90
  4. Step 4: Simplify right side
    3,200.52x = 11,158,717.11
  5. Step 5: Solve for x
    x = 11,158,717.11/3,200.52
  6. Step 6: Final answer
    x = 3,486.53

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