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Finding the Fourth Proportional to 3,417.79, 5,126.12 and 952.86

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Solution

The fourth proportional to 3,417.79, 5,126.12 and 952.86 is: 1,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.79 : 5,126.12 = 952.86 : x
  2. Step 2: Convert to fraction form
    3,417.79/5,126.12 = 952.86/x
  3. Step 3: Cross multiply
    3,417.79x = 5,126.12 × 952.86
  4. Step 4: Simplify right side
    3,417.79x = 4,884,474.70
  5. Step 5: Solve for x
    x = 4,884,474.70/3,417.79
  6. Step 6: Final answer
    x = 1,429.13

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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.