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Finding the Fourth Proportional to 3,973.98, 5,954.49 and 2,023.50

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Solution

The fourth proportional to 3,973.98, 5,954.49 and 2,023.50 is: 3,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.98 : 5,954.49 = 2,023.50 : x
  2. Step 2: Convert to fraction form
    3,973.98/5,954.49 = 2,023.50/x
  3. Step 3: Cross multiply
    3,973.98x = 5,954.49 × 2,023.50
  4. Step 4: Simplify right side
    3,973.98x = 12,048,910.52
  5. Step 5: Solve for x
    x = 12,048,910.52/3,973.98
  6. Step 6: Final answer
    x = 3,031.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.