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Finding the Fourth Proportional to 3,601.76, 5,402.63 and 1,408.95

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Solution

The fourth proportional to 3,601.76, 5,402.63 and 1,408.95 is: 2,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.76 : 5,402.63 = 1,408.95 : x
  2. Step 2: Convert to fraction form
    3,601.76/5,402.63 = 1,408.95/x
  3. Step 3: Cross multiply
    3,601.76x = 5,402.63 × 1,408.95
  4. Step 4: Simplify right side
    3,601.76x = 7,612,035.54
  5. Step 5: Solve for x
    x = 7,612,035.54/3,601.76
  6. Step 6: Final answer
    x = 2,113.42

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Why These Related Problems?

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