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Finding the Fourth Proportional to 3,421.53, 5,131.35 and 956.61

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Solution

The fourth proportional to 3,421.53, 5,131.35 and 956.61 is: 1,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.53 : 5,131.35 = 956.61 : x
  2. Step 2: Convert to fraction form
    3,421.53/5,131.35 = 956.61/x
  3. Step 3: Cross multiply
    3,421.53x = 5,131.35 × 956.61
  4. Step 4: Simplify right side
    3,421.53x = 4,908,700.72
  5. Step 5: Solve for x
    x = 4,908,700.72/3,421.53
  6. Step 6: Final answer
    x = 1,434.65

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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.