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Finding the Fourth Proportional to 4,149.84, 6,223.01 and 1,375.77

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Solution

The fourth proportional to 4,149.84, 6,223.01 and 1,375.77 is: 2,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.84 : 6,223.01 = 1,375.77 : x
  2. Step 2: Convert to fraction form
    4,149.84/6,223.01 = 1,375.77/x
  3. Step 3: Cross multiply
    4,149.84x = 6,223.01 × 1,375.77
  4. Step 4: Simplify right side
    4,149.84x = 8,561,423.59
  5. Step 5: Solve for x
    x = 8,561,423.59/4,149.84
  6. Step 6: Final answer
    x = 2,063.07

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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.