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Finding the Fourth Proportional to 5,671.12, 7,825.56 and 3,152.82

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Solution

The fourth proportional to 5,671.12, 7,825.56 and 3,152.82 is: 4,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.12 : 7,825.56 = 3,152.82 : x
  2. Step 2: Convert to fraction form
    5,671.12/7,825.56 = 3,152.82/x
  3. Step 3: Cross multiply
    5,671.12x = 7,825.56 × 3,152.82
  4. Step 4: Simplify right side
    5,671.12x = 24,672,582.08
  5. Step 5: Solve for x
    x = 24,672,582.08/5,671.12
  6. Step 6: Final answer
    x = 4,350.57

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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.