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Finding the Fourth Proportional to 5,671.79, 7,825.19 and 3,432.81

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Solution

The fourth proportional to 5,671.79, 7,825.19 and 3,432.81 is: 4,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.79 : 7,825.19 = 3,432.81 : x
  2. Step 2: Convert to fraction form
    5,671.79/7,825.19 = 3,432.81/x
  3. Step 3: Cross multiply
    5,671.79x = 7,825.19 × 3,432.81
  4. Step 4: Simplify right side
    5,671.79x = 26,862,399.07
  5. Step 5: Solve for x
    x = 26,862,399.07/5,671.79
  6. Step 6: Final answer
    x = 4,736.15

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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.