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Finding the Fourth Proportional to 3,186, 4,396.10 and 1,859.38

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Solution

The fourth proportional to 3,186, 4,396.10 and 1,859.38 is: 2,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 4,396.10 = 1,859.38 : x
  2. Step 2: Convert to fraction form
    3,186/4,396.10 = 1,859.38/x
  3. Step 3: Cross multiply
    3,186x = 4,396.10 × 1,859.38
  4. Step 4: Simplify right side
    3,186x = 8,174,000.13
  5. Step 5: Solve for x
    x = 8,174,000.13/3,186
  6. Step 6: Final answer
    x = 2,565.60

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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.