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Finding the Fourth Proportional to 3,582.86, 5,372.56 and 1,502.31

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Solution

The fourth proportional to 3,582.86, 5,372.56 and 1,502.31 is: 2,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.86 : 5,372.56 = 1,502.31 : x
  2. Step 2: Convert to fraction form
    3,582.86/5,372.56 = 1,502.31/x
  3. Step 3: Cross multiply
    3,582.86x = 5,372.56 × 1,502.31
  4. Step 4: Simplify right side
    3,582.86x = 8,071,223.75
  5. Step 5: Solve for x
    x = 8,071,223.75/3,582.86
  6. Step 6: Final answer
    x = 2,252.73

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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.