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Finding the Fourth Proportional to 3,502.96, 5,254.71 and 1,162.87

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Solution

The fourth proportional to 3,502.96, 5,254.71 and 1,162.87 is: 1,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.96 : 5,254.71 = 1,162.87 : x
  2. Step 2: Convert to fraction form
    3,502.96/5,254.71 = 1,162.87/x
  3. Step 3: Cross multiply
    3,502.96x = 5,254.71 × 1,162.87
  4. Step 4: Simplify right side
    3,502.96x = 6,110,544.62
  5. Step 5: Solve for x
    x = 6,110,544.62/3,502.96
  6. Step 6: Final answer
    x = 1,744.39

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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.