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Finding the Fourth Proportional to 5,834.70, 8,051.19 and 3,315.90

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Solution

The fourth proportional to 5,834.70, 8,051.19 and 3,315.90 is: 4,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.70 : 8,051.19 = 3,315.90 : x
  2. Step 2: Convert to fraction form
    5,834.70/8,051.19 = 3,315.90/x
  3. Step 3: Cross multiply
    5,834.70x = 8,051.19 × 3,315.90
  4. Step 4: Simplify right side
    5,834.70x = 26,696,940.92
  5. Step 5: Solve for x
    x = 26,696,940.92/5,834.70
  6. Step 6: Final answer
    x = 4,575.55

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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.