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Finding the Fourth Proportional to 4,512.85, 6,769.35 and 1,591.18

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Solution

The fourth proportional to 4,512.85, 6,769.35 and 1,591.18 is: 2,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.85 : 6,769.35 = 1,591.18 : x
  2. Step 2: Convert to fraction form
    4,512.85/6,769.35 = 1,591.18/x
  3. Step 3: Cross multiply
    4,512.85x = 6,769.35 × 1,591.18
  4. Step 4: Simplify right side
    4,512.85x = 10,771,254.33
  5. Step 5: Solve for x
    x = 10,771,254.33/4,512.85
  6. Step 6: Final answer
    x = 2,386.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.