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Finding the Fourth Proportional to 4,153.01, 6,229.49 and 1,378.91

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Solution

The fourth proportional to 4,153.01, 6,229.49 and 1,378.91 is: 2,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.01 : 6,229.49 = 1,378.91 : x
  2. Step 2: Convert to fraction form
    4,153.01/6,229.49 = 1,378.91/x
  3. Step 3: Cross multiply
    4,153.01x = 6,229.49 × 1,378.91
  4. Step 4: Simplify right side
    4,153.01x = 8,589,868.01
  5. Step 5: Solve for x
    x = 8,589,868.01/4,153.01
  6. Step 6: Final answer
    x = 2,068.35

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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.