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Finding the Fourth Proportional to 3,948.89, 5,894.53 and 3,642.71

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Solution

The fourth proportional to 3,948.89, 5,894.53 and 3,642.71 is: 5,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.89 : 5,894.53 = 3,642.71 : x
  2. Step 2: Convert to fraction form
    3,948.89/5,894.53 = 3,642.71/x
  3. Step 3: Cross multiply
    3,948.89x = 5,894.53 × 3,642.71
  4. Step 4: Simplify right side
    3,948.89x = 21,472,069.01
  5. Step 5: Solve for x
    x = 21,472,069.01/3,948.89
  6. Step 6: Final answer
    x = 5,437.49

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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.