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Finding the Fourth Proportional to 5,864.32, 8,095.38 and 3,742.66

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Solution

The fourth proportional to 5,864.32, 8,095.38 and 3,742.66 is: 5,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.32 : 8,095.38 = 3,742.66 : x
  2. Step 2: Convert to fraction form
    5,864.32/8,095.38 = 3,742.66/x
  3. Step 3: Cross multiply
    5,864.32x = 8,095.38 × 3,742.66
  4. Step 4: Simplify right side
    5,864.32x = 30,298,205.46
  5. Step 5: Solve for x
    x = 30,298,205.46/5,864.32
  6. Step 6: Final answer
    x = 5,166.54

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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.