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Finding the Fourth Proportional to 3,467.30, 5,200.95 and 2,353.70

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Solution

The fourth proportional to 3,467.30, 5,200.95 and 2,353.70 is: 3,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.30 : 5,200.95 = 2,353.70 : x
  2. Step 2: Convert to fraction form
    3,467.30/5,200.95 = 2,353.70/x
  3. Step 3: Cross multiply
    3,467.30x = 5,200.95 × 2,353.70
  4. Step 4: Simplify right side
    3,467.30x = 12,241,476.02
  5. Step 5: Solve for x
    x = 12,241,476.02/3,467.30
  6. Step 6: Final answer
    x = 3,530.55

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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.