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Finding the Fourth Proportional to 3,831.62, 5,747.28 and 1,095.62

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Solution

The fourth proportional to 3,831.62, 5,747.28 and 1,095.62 is: 1,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.62 : 5,747.28 = 1,095.62 : x
  2. Step 2: Convert to fraction form
    3,831.62/5,747.28 = 1,095.62/x
  3. Step 3: Cross multiply
    3,831.62x = 5,747.28 × 1,095.62
  4. Step 4: Simplify right side
    3,831.62x = 6,296,834.91
  5. Step 5: Solve for x
    x = 6,296,834.91/3,831.62
  6. Step 6: Final answer
    x = 1,643.39

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1.5x scale

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.