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Finding the Fourth Proportional to 5,582.38, 7,704.08 and 3,690.68

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Solution

The fourth proportional to 5,582.38, 7,704.08 and 3,690.68 is: 5,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.38 : 7,704.08 = 3,690.68 : x
  2. Step 2: Convert to fraction form
    5,582.38/7,704.08 = 3,690.68/x
  3. Step 3: Cross multiply
    5,582.38x = 7,704.08 × 3,690.68
  4. Step 4: Simplify right side
    5,582.38x = 28,433,293.97
  5. Step 5: Solve for x
    x = 28,433,293.97/5,582.38
  6. Step 6: Final answer
    x = 5,093.40

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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.