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Finding the Fourth Proportional to 3,380.86, 5,071.70 and 1,532.44

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Solution

The fourth proportional to 3,380.86, 5,071.70 and 1,532.44 is: 2,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.86 : 5,071.70 = 1,532.44 : x
  2. Step 2: Convert to fraction form
    3,380.86/5,071.70 = 1,532.44/x
  3. Step 3: Cross multiply
    3,380.86x = 5,071.70 × 1,532.44
  4. Step 4: Simplify right side
    3,380.86x = 7,772,075.95
  5. Step 5: Solve for x
    x = 7,772,075.95/3,380.86
  6. Step 6: Final answer
    x = 2,298.85

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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.