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Finding the Fourth Proportional to 3,763.39, 5,642.86 and 1,541.56

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Solution

The fourth proportional to 3,763.39, 5,642.86 and 1,541.56 is: 2,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.39 : 5,642.86 = 1,541.56 : x
  2. Step 2: Convert to fraction form
    3,763.39/5,642.86 = 1,541.56/x
  3. Step 3: Cross multiply
    3,763.39x = 5,642.86 × 1,541.56
  4. Step 4: Simplify right side
    3,763.39x = 8,698,803.41
  5. Step 5: Solve for x
    x = 8,698,803.41/3,763.39
  6. Step 6: Final answer
    x = 2,311.43

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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.