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Finding the Fourth Proportional to 5,649.38, 8,465.98 and 3,179

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Solution

The fourth proportional to 5,649.38, 8,465.98 and 3,179 is: 4,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.38 : 8,465.98 = 3,179 : x
  2. Step 2: Convert to fraction form
    5,649.38/8,465.98 = 3,179/x
  3. Step 3: Cross multiply
    5,649.38x = 8,465.98 × 3,179
  4. Step 4: Simplify right side
    5,649.38x = 26,913,350.42
  5. Step 5: Solve for x
    x = 26,913,350.42/5,649.38
  6. Step 6: Final answer
    x = 4,763.95

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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.