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Finding the Fourth Proportional to 4,137.46, 5,703.12 and 3,251.74

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Solution

The fourth proportional to 4,137.46, 5,703.12 and 3,251.74 is: 4,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.46 : 5,703.12 = 3,251.74 : x
  2. Step 2: Convert to fraction form
    4,137.46/5,703.12 = 3,251.74/x
  3. Step 3: Cross multiply
    4,137.46x = 5,703.12 × 3,251.74
  4. Step 4: Simplify right side
    4,137.46x = 18,545,063.43
  5. Step 5: Solve for x
    x = 18,545,063.43/4,137.46
  6. Step 6: Final answer
    x = 4,482.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.