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Finding the Fourth Proportional to 5,159.75, 7,770.15 and 4,645.80

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Solution

The fourth proportional to 5,159.75, 7,770.15 and 4,645.80 is: 6,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.75 : 7,770.15 = 4,645.80 : x
  2. Step 2: Convert to fraction form
    5,159.75/7,770.15 = 4,645.80/x
  3. Step 3: Cross multiply
    5,159.75x = 7,770.15 × 4,645.80
  4. Step 4: Simplify right side
    5,159.75x = 36,098,562.87
  5. Step 5: Solve for x
    x = 36,098,562.87/5,159.75
  6. Step 6: Final answer
    x = 6,996.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.