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Finding the Fourth Proportional to 3,422.12, 5,132.16 and 956.34

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Solution

The fourth proportional to 3,422.12, 5,132.16 and 956.34 is: 1,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.12 : 5,132.16 = 956.34 : x
  2. Step 2: Convert to fraction form
    3,422.12/5,132.16 = 956.34/x
  3. Step 3: Cross multiply
    3,422.12x = 5,132.16 × 956.34
  4. Step 4: Simplify right side
    3,422.12x = 4,908,089.89
  5. Step 5: Solve for x
    x = 4,908,089.89/3,422.12
  6. Step 6: Final answer
    x = 1,434.23

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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.