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Finding the Fourth Proportional to 4,951.88, 6,833.72 and 2,856.14

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Solution

The fourth proportional to 4,951.88, 6,833.72 and 2,856.14 is: 3,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.88 : 6,833.72 = 2,856.14 : x
  2. Step 2: Convert to fraction form
    4,951.88/6,833.72 = 2,856.14/x
  3. Step 3: Cross multiply
    4,951.88x = 6,833.72 × 2,856.14
  4. Step 4: Simplify right side
    4,951.88x = 19,518,034.01
  5. Step 5: Solve for x
    x = 19,518,034.01/4,951.88
  6. Step 6: Final answer
    x = 3,941.54

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1.5x scale

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.