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Finding the Fourth Proportional to 4,805.25, 7,170.15 and 4,314.39

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Solution

The fourth proportional to 4,805.25, 7,170.15 and 4,314.39 is: 6,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.25 : 7,170.15 = 4,314.39 : x
  2. Step 2: Convert to fraction form
    4,805.25/7,170.15 = 4,314.39/x
  3. Step 3: Cross multiply
    4,805.25x = 7,170.15 × 4,314.39
  4. Step 4: Simplify right side
    4,805.25x = 30,934,823.46
  5. Step 5: Solve for x
    x = 30,934,823.46/4,805.25
  6. Step 6: Final answer
    x = 6,437.71

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