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Finding the Fourth Proportional to 5,332.34, 8,001.32 and 3,782.34

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Solution

The fourth proportional to 5,332.34, 8,001.32 and 3,782.34 is: 5,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.34 : 8,001.32 = 3,782.34 : x
  2. Step 2: Convert to fraction form
    5,332.34/8,001.32 = 3,782.34/x
  3. Step 3: Cross multiply
    5,332.34x = 8,001.32 × 3,782.34
  4. Step 4: Simplify right side
    5,332.34x = 30,263,693.78
  5. Step 5: Solve for x
    x = 30,263,693.78/5,332.34
  6. Step 6: Final answer
    x = 5,675.50

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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.