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Finding the Fourth Proportional to 3,417.63, 5,126.52 and 952.44

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Solution

The fourth proportional to 3,417.63, 5,126.52 and 952.44 is: 1,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.63 : 5,126.52 = 952.44 : x
  2. Step 2: Convert to fraction form
    3,417.63/5,126.52 = 952.44/x
  3. Step 3: Cross multiply
    3,417.63x = 5,126.52 × 952.44
  4. Step 4: Simplify right side
    3,417.63x = 4,882,702.71
  5. Step 5: Solve for x
    x = 4,882,702.71/3,417.63
  6. Step 6: Final answer
    x = 1,428.68

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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.