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Finding the Fourth Proportional to 4,451, 6,680.51 and 2,372.74

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Solution

The fourth proportional to 4,451, 6,680.51 and 2,372.74 is: 3,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451 : 6,680.51 = 2,372.74 : x
  2. Step 2: Convert to fraction form
    4,451/6,680.51 = 2,372.74/x
  3. Step 3: Cross multiply
    4,451x = 6,680.51 × 2,372.74
  4. Step 4: Simplify right side
    4,451x = 15,851,079.89
  5. Step 5: Solve for x
    x = 15,851,079.89/4,451
  6. Step 6: Final answer
    x = 3,561.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.