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Finding the Fourth Proportional to 4,074.57, 5,622.93 and 2,306.34

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Solution

The fourth proportional to 4,074.57, 5,622.93 and 2,306.34 is: 3,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.57 : 5,622.93 = 2,306.34 : x
  2. Step 2: Convert to fraction form
    4,074.57/5,622.93 = 2,306.34/x
  3. Step 3: Cross multiply
    4,074.57x = 5,622.93 × 2,306.34
  4. Step 4: Simplify right side
    4,074.57x = 12,968,388.38
  5. Step 5: Solve for x
    x = 12,968,388.38/4,074.57
  6. Step 6: Final answer
    x = 3,182.76

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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.