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Finding the Fourth Proportional to 4,178.76, 5,765.38 and 2,684.00

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Solution

The fourth proportional to 4,178.76, 5,765.38 and 2,684.00 is: 3,703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.76 : 5,765.38 = 2,684.00 : x
  2. Step 2: Convert to fraction form
    4,178.76/5,765.38 = 2,684.00/x
  3. Step 3: Cross multiply
    4,178.76x = 5,765.38 × 2,684.00
  4. Step 4: Simplify right side
    4,178.76x = 15,474,287.62
  5. Step 5: Solve for x
    x = 15,474,287.62/4,178.76
  6. Step 6: Final answer
    x = 3,703.08

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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.