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Finding the Fourth Proportional to 5,582.74, 7,704.26 and 3,065.10

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Solution

The fourth proportional to 5,582.74, 7,704.26 and 3,065.10 is: 4,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.74 : 7,704.26 = 3,065.10 : x
  2. Step 2: Convert to fraction form
    5,582.74/7,704.26 = 3,065.10/x
  3. Step 3: Cross multiply
    5,582.74x = 7,704.26 × 3,065.10
  4. Step 4: Simplify right side
    5,582.74x = 23,614,327.33
  5. Step 5: Solve for x
    x = 23,614,327.33/5,582.74
  6. Step 6: Final answer
    x = 4,229.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.