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Finding the Fourth Proportional to 5,671.29, 7,824.18 and 4,182.75

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Solution

The fourth proportional to 5,671.29, 7,824.18 and 4,182.75 is: 5,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.29 : 7,824.18 = 4,182.75 : x
  2. Step 2: Convert to fraction form
    5,671.29/7,824.18 = 4,182.75/x
  3. Step 3: Cross multiply
    5,671.29x = 7,824.18 × 4,182.75
  4. Step 4: Simplify right side
    5,671.29x = 32,726,588.90
  5. Step 5: Solve for x
    x = 32,726,588.90/5,671.29
  6. Step 6: Final answer
    x = 5,770.57

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