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Finding the Fourth Proportional to 4,541.96, 6,780.53 and 3,843.95

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Solution

The fourth proportional to 4,541.96, 6,780.53 and 3,843.95 is: 5,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.96 : 6,780.53 = 3,843.95 : x
  2. Step 2: Convert to fraction form
    4,541.96/6,780.53 = 3,843.95/x
  3. Step 3: Cross multiply
    4,541.96x = 6,780.53 × 3,843.95
  4. Step 4: Simplify right side
    4,541.96x = 26,063,965.17
  5. Step 5: Solve for x
    x = 26,063,965.17/4,541.96
  6. Step 6: Final answer
    x = 5,738.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.