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Finding the Fourth Proportional to 5,859.38, 8,085.75 and 3,500.12

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Solution

The fourth proportional to 5,859.38, 8,085.75 and 3,500.12 is: 4,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.38 : 8,085.75 = 3,500.12 : x
  2. Step 2: Convert to fraction form
    5,859.38/8,085.75 = 3,500.12/x
  3. Step 3: Cross multiply
    5,859.38x = 8,085.75 × 3,500.12
  4. Step 4: Simplify right side
    5,859.38x = 28,301,095.29
  5. Step 5: Solve for x
    x = 28,301,095.29/5,859.38
  6. Step 6: Final answer
    x = 4,830.05

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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.