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Finding the Fourth Proportional to 3,745.89, 5,618.98 and 972.49

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Solution

The fourth proportional to 3,745.89, 5,618.98 and 972.49 is: 1,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.89 : 5,618.98 = 972.49 : x
  2. Step 2: Convert to fraction form
    3,745.89/5,618.98 = 972.49/x
  3. Step 3: Cross multiply
    3,745.89x = 5,618.98 × 972.49
  4. Step 4: Simplify right side
    3,745.89x = 5,464,401.86
  5. Step 5: Solve for x
    x = 5,464,401.86/3,745.89
  6. Step 6: Final answer
    x = 1,458.77

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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.