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Finding the Fourth Proportional to 5,746.92, 7,921.76 and 4,805.84

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Solution

The fourth proportional to 5,746.92, 7,921.76 and 4,805.84 is: 6,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.92 : 7,921.76 = 4,805.84 : x
  2. Step 2: Convert to fraction form
    5,746.92/7,921.76 = 4,805.84/x
  3. Step 3: Cross multiply
    5,746.92x = 7,921.76 × 4,805.84
  4. Step 4: Simplify right side
    5,746.92x = 38,070,711.08
  5. Step 5: Solve for x
    x = 38,070,711.08/5,746.92
  6. Step 6: Final answer
    x = 6,624.54

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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.