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Finding the Fourth Proportional to 3,856.83, 5,785.25 and 935.13

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Solution

The fourth proportional to 3,856.83, 5,785.25 and 935.13 is: 1,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.83 : 5,785.25 = 935.13 : x
  2. Step 2: Convert to fraction form
    3,856.83/5,785.25 = 935.13/x
  3. Step 3: Cross multiply
    3,856.83x = 5,785.25 × 935.13
  4. Step 4: Simplify right side
    3,856.83x = 5,409,960.83
  5. Step 5: Solve for x
    x = 5,409,960.83/3,856.83
  6. Step 6: Final answer
    x = 1,402.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.