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Finding the Fourth Proportional to 4,149.76, 6,224.75 and 1,376.63

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Solution

The fourth proportional to 4,149.76, 6,224.75 and 1,376.63 is: 2,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.76 : 6,224.75 = 1,376.63 : x
  2. Step 2: Convert to fraction form
    4,149.76/6,224.75 = 1,376.63/x
  3. Step 3: Cross multiply
    4,149.76x = 6,224.75 × 1,376.63
  4. Step 4: Simplify right side
    4,149.76x = 8,569,177.59
  5. Step 5: Solve for x
    x = 8,569,177.59/4,149.76
  6. Step 6: Final answer
    x = 2,064.98

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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.