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Finding the Fourth Proportional to 4,951.89, 6,834.24 and 2,856.03

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Solution

The fourth proportional to 4,951.89, 6,834.24 and 2,856.03 is: 3,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.89 : 6,834.24 = 2,856.03 : x
  2. Step 2: Convert to fraction form
    4,951.89/6,834.24 = 2,856.03/x
  3. Step 3: Cross multiply
    4,951.89x = 6,834.24 × 2,856.03
  4. Step 4: Simplify right side
    4,951.89x = 19,518,794.47
  5. Step 5: Solve for x
    x = 19,518,794.47/4,951.89
  6. Step 6: Final answer
    x = 3,941.69

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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.