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Finding the Fourth Proportional to 3,764.32, 5,641.02 and 2,670.82

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Solution

The fourth proportional to 3,764.32, 5,641.02 and 2,670.82 is: 4,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.32 : 5,641.02 = 2,670.82 : x
  2. Step 2: Convert to fraction form
    3,764.32/5,641.02 = 2,670.82/x
  3. Step 3: Cross multiply
    3,764.32x = 5,641.02 × 2,670.82
  4. Step 4: Simplify right side
    3,764.32x = 15,066,149.04
  5. Step 5: Solve for x
    x = 15,066,149.04/3,764.32
  6. Step 6: Final answer
    x = 4,002.36

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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.