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Finding the Fourth Proportional to 4,178.88, 5,762.88 and 3,182.40

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Solution

The fourth proportional to 4,178.88, 5,762.88 and 3,182.40 is: 4,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.88 : 5,762.88 = 3,182.40 : x
  2. Step 2: Convert to fraction form
    4,178.88/5,762.88 = 3,182.40/x
  3. Step 3: Cross multiply
    4,178.88x = 5,762.88 × 3,182.40
  4. Step 4: Simplify right side
    4,178.88x = 18,339,789.31
  5. Step 5: Solve for x
    x = 18,339,789.31/4,178.88
  6. Step 6: Final answer
    x = 4,388.69

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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.