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Finding the Fourth Proportional to 3,143.16, 4,715.10 and 952.20

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Solution

The fourth proportional to 3,143.16, 4,715.10 and 952.20 is: 1,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.16 : 4,715.10 = 952.20 : x
  2. Step 2: Convert to fraction form
    3,143.16/4,715.10 = 952.20/x
  3. Step 3: Cross multiply
    3,143.16x = 4,715.10 × 952.20
  4. Step 4: Simplify right side
    3,143.16x = 4,489,718.22
  5. Step 5: Solve for x
    x = 4,489,718.22/3,143.16
  6. Step 6: Final answer
    x = 1,428.41

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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.