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Finding the Fourth Proportional to 3,143.03, 4,713.62 and 951.17

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Solution

The fourth proportional to 3,143.03, 4,713.62 and 951.17 is: 1,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.03 : 4,713.62 = 951.17 : x
  2. Step 2: Convert to fraction form
    3,143.03/4,713.62 = 951.17/x
  3. Step 3: Cross multiply
    3,143.03x = 4,713.62 × 951.17
  4. Step 4: Simplify right side
    3,143.03x = 4,483,425.61
  5. Step 5: Solve for x
    x = 4,483,425.61/3,143.03
  6. Step 6: Final answer
    x = 1,426.47

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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.