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Finding the Fourth Proportional to 5,837.82, 8,705.32 and 5,785.17

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Solution

The fourth proportional to 5,837.82, 8,705.32 and 5,785.17 is: 8,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.82 : 8,705.32 = 5,785.17 : x
  2. Step 2: Convert to fraction form
    5,837.82/8,705.32 = 5,785.17/x
  3. Step 3: Cross multiply
    5,837.82x = 8,705.32 × 5,785.17
  4. Step 4: Simplify right side
    5,837.82x = 50,361,741.64
  5. Step 5: Solve for x
    x = 50,361,741.64/5,837.82
  6. Step 6: Final answer
    x = 8,626.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.