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Finding the Fourth Proportional to 3,929.65, 5,422.04 and 2,336.18

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Solution

The fourth proportional to 3,929.65, 5,422.04 and 2,336.18 is: 3,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.65 : 5,422.04 = 2,336.18 : x
  2. Step 2: Convert to fraction form
    3,929.65/5,422.04 = 2,336.18/x
  3. Step 3: Cross multiply
    3,929.65x = 5,422.04 × 2,336.18
  4. Step 4: Simplify right side
    3,929.65x = 12,666,831.38
  5. Step 5: Solve for x
    x = 12,666,831.38/3,929.65
  6. Step 6: Final answer
    x = 3,223.40

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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.