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Finding the Fourth Proportional to 3,421.13, 5,131.91 and 956.10

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Solution

The fourth proportional to 3,421.13, 5,131.91 and 956.10 is: 1,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.13 : 5,131.91 = 956.10 : x
  2. Step 2: Convert to fraction form
    3,421.13/5,131.91 = 956.10/x
  3. Step 3: Cross multiply
    3,421.13x = 5,131.91 × 956.10
  4. Step 4: Simplify right side
    3,421.13x = 4,906,614.37
  5. Step 5: Solve for x
    x = 4,906,614.37/3,421.13
  6. Step 6: Final answer
    x = 1,434.21

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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.