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Finding the Fourth Proportional to 5,948.74, 8,209.32 and 3,856.54

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Solution

The fourth proportional to 5,948.74, 8,209.32 and 3,856.54 is: 5,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.74 : 8,209.32 = 3,856.54 : x
  2. Step 2: Convert to fraction form
    5,948.74/8,209.32 = 3,856.54/x
  3. Step 3: Cross multiply
    5,948.74x = 8,209.32 × 3,856.54
  4. Step 4: Simplify right side
    5,948.74x = 31,659,570.95
  5. Step 5: Solve for x
    x = 31,659,570.95/5,948.74
  6. Step 6: Final answer
    x = 5,322.06

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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.