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Finding the Fourth Proportional to 3,422.37, 5,132.94 and 956.58

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Solution

The fourth proportional to 3,422.37, 5,132.94 and 956.58 is: 1,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.37 : 5,132.94 = 956.58 : x
  2. Step 2: Convert to fraction form
    3,422.37/5,132.94 = 956.58/x
  3. Step 3: Cross multiply
    3,422.37x = 5,132.94 × 956.58
  4. Step 4: Simplify right side
    3,422.37x = 4,910,062.96
  5. Step 5: Solve for x
    x = 4,910,062.96/3,422.37
  6. Step 6: Final answer
    x = 1,434.70

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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.