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Finding the Fourth Proportional to 3,143.94, 4,715.37 and 952.35

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Solution

The fourth proportional to 3,143.94, 4,715.37 and 952.35 is: 1,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.94 : 4,715.37 = 952.35 : x
  2. Step 2: Convert to fraction form
    3,143.94/4,715.37 = 952.35/x
  3. Step 3: Cross multiply
    3,143.94x = 4,715.37 × 952.35
  4. Step 4: Simplify right side
    3,143.94x = 4,490,682.62
  5. Step 5: Solve for x
    x = 4,490,682.62/3,143.94
  6. Step 6: Final answer
    x = 1,428.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.