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Finding the Fourth Proportional to 5,743.27, 7,929.38 and 4,482.10

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Solution

The fourth proportional to 5,743.27, 7,929.38 and 4,482.10 is: 6,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.27 : 7,929.38 = 4,482.10 : x
  2. Step 2: Convert to fraction form
    5,743.27/7,929.38 = 4,482.10/x
  3. Step 3: Cross multiply
    5,743.27x = 7,929.38 × 4,482.10
  4. Step 4: Simplify right side
    5,743.27x = 35,540,212.04
  5. Step 5: Solve for x
    x = 35,540,212.04/5,743.27
  6. Step 6: Final answer
    x = 6,188.15

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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.