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Finding the Fourth Proportional to 5,074.74, 7,612.26 and 1,377.05

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Solution

The fourth proportional to 5,074.74, 7,612.26 and 1,377.05 is: 2,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.74 : 7,612.26 = 1,377.05 : x
  2. Step 2: Convert to fraction form
    5,074.74/7,612.26 = 1,377.05/x
  3. Step 3: Cross multiply
    5,074.74x = 7,612.26 × 1,377.05
  4. Step 4: Simplify right side
    5,074.74x = 10,482,447.04
  5. Step 5: Solve for x
    x = 10,482,447.04/5,074.74
  6. Step 6: Final answer
    x = 2,065.61

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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.