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Finding the Fourth Proportional to 5,582.71, 7,704.15 and 3,065.07

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Solution

The fourth proportional to 5,582.71, 7,704.15 and 3,065.07 is: 4,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.71 : 7,704.15 = 3,065.07 : x
  2. Step 2: Convert to fraction form
    5,582.71/7,704.15 = 3,065.07/x
  3. Step 3: Cross multiply
    5,582.71x = 7,704.15 × 3,065.07
  4. Step 4: Simplify right side
    5,582.71x = 23,613,802.30
  5. Step 5: Solve for x
    x = 23,613,802.30/5,582.71
  6. Step 6: Final answer
    x = 4,229.81

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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.