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Finding the Fourth Proportional to 5,680, 8,518.36 and 2,393.84

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Solution

The fourth proportional to 5,680, 8,518.36 and 2,393.84 is: 3,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 8,518.36 = 2,393.84 : x
  2. Step 2: Convert to fraction form
    5,680/8,518.36 = 2,393.84/x
  3. Step 3: Cross multiply
    5,680x = 8,518.36 × 2,393.84
  4. Step 4: Simplify right side
    5,680x = 20,391,590.90
  5. Step 5: Solve for x
    x = 20,391,590.90/5,680
  6. Step 6: Final answer
    x = 3,590.07

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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.