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Finding the Fourth Proportional to 3,605.76, 4,978.56 and 2,367.36

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Solution

The fourth proportional to 3,605.76, 4,978.56 and 2,367.36 is: 3,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.76 : 4,978.56 = 2,367.36 : x
  2. Step 2: Convert to fraction form
    3,605.76/4,978.56 = 2,367.36/x
  3. Step 3: Cross multiply
    3,605.76x = 4,978.56 × 2,367.36
  4. Step 4: Simplify right side
    3,605.76x = 11,786,043.80
  5. Step 5: Solve for x
    x = 11,786,043.80/3,605.76
  6. Step 6: Final answer
    x = 3,268.67

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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.