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Finding the Fourth Proportional to 4,952.13, 6,834.14 and 2,856.25

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Solution

The fourth proportional to 4,952.13, 6,834.14 and 2,856.25 is: 3,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.13 : 6,834.14 = 2,856.25 : x
  2. Step 2: Convert to fraction form
    4,952.13/6,834.14 = 2,856.25/x
  3. Step 3: Cross multiply
    4,952.13x = 6,834.14 × 2,856.25
  4. Step 4: Simplify right side
    4,952.13x = 19,520,012.38
  5. Step 5: Solve for x
    x = 19,520,012.38/4,952.13
  6. Step 6: Final answer
    x = 3,941.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.