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Finding the Fourth Proportional to 5,352, 7,377.66 and 4,601.94

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Solution

The fourth proportional to 5,352, 7,377.66 and 4,601.94 is: 6,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352 : 7,377.66 = 4,601.94 : x
  2. Step 2: Convert to fraction form
    5,352/7,377.66 = 4,601.94/x
  3. Step 3: Cross multiply
    5,352x = 7,377.66 × 4,601.94
  4. Step 4: Simplify right side
    5,352x = 33,951,548.66
  5. Step 5: Solve for x
    x = 33,951,548.66/5,352
  6. Step 6: Final answer
    x = 6,343.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.