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Finding the Fourth Proportional to 3,352.40, 4,624.02 and 2,023.82

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Solution

The fourth proportional to 3,352.40, 4,624.02 and 2,023.82 is: 2,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.40 : 4,624.02 = 2,023.82 : x
  2. Step 2: Convert to fraction form
    3,352.40/4,624.02 = 2,023.82/x
  3. Step 3: Cross multiply
    3,352.40x = 4,624.02 × 2,023.82
  4. Step 4: Simplify right side
    3,352.40x = 9,358,184.16
  5. Step 5: Solve for x
    x = 9,358,184.16/3,352.40
  6. Step 6: Final answer
    x = 2,791.49

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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.