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Finding the Fourth Proportional to 4,333.68, 6,500.49 and 2,252.61

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Solution

The fourth proportional to 4,333.68, 6,500.49 and 2,252.61 is: 3,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.68 : 6,500.49 = 2,252.61 : x
  2. Step 2: Convert to fraction form
    4,333.68/6,500.49 = 2,252.61/x
  3. Step 3: Cross multiply
    4,333.68x = 6,500.49 × 2,252.61
  4. Step 4: Simplify right side
    4,333.68x = 14,643,085.03
  5. Step 5: Solve for x
    x = 14,643,085.03/4,333.68
  6. Step 6: Final answer
    x = 3,378.90

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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.