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Finding the Fourth Proportional to 5,671.42, 7,825.97 and 3,153.13

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Solution

The fourth proportional to 5,671.42, 7,825.97 and 3,153.13 is: 4,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.42 : 7,825.97 = 3,153.13 : x
  2. Step 2: Convert to fraction form
    5,671.42/7,825.97 = 3,153.13/x
  3. Step 3: Cross multiply
    5,671.42x = 7,825.97 × 3,153.13
  4. Step 4: Simplify right side
    5,671.42x = 24,676,300.79
  5. Step 5: Solve for x
    x = 24,676,300.79/5,671.42
  6. Step 6: Final answer
    x = 4,350.99

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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.