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Finding the Fourth Proportional to 3,086.16, 4,630 and 895.04

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Solution

The fourth proportional to 3,086.16, 4,630 and 895.04 is: 1,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.16 : 4,630 = 895.04 : x
  2. Step 2: Convert to fraction form
    3,086.16/4,630 = 895.04/x
  3. Step 3: Cross multiply
    3,086.16x = 4,630 × 895.04
  4. Step 4: Simplify right side
    3,086.16x = 4,144,035.20
  5. Step 5: Solve for x
    x = 4,144,035.20/3,086.16
  6. Step 6: Final answer
    x = 1,342.78

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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.