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Finding the Fourth Proportional to 4,377.46, 6,565.40 and 1,744.74

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Solution

The fourth proportional to 4,377.46, 6,565.40 and 1,744.74 is: 2,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.46 : 6,565.40 = 1,744.74 : x
  2. Step 2: Convert to fraction form
    4,377.46/6,565.40 = 1,744.74/x
  3. Step 3: Cross multiply
    4,377.46x = 6,565.40 × 1,744.74
  4. Step 4: Simplify right side
    4,377.46x = 11,454,916.00
  5. Step 5: Solve for x
    x = 11,454,916.00/4,377.46
  6. Step 6: Final answer
    x = 2,616.80

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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.