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Finding the Fourth Proportional to 3,605.34, 5,408.10 and 1,008.12

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Solution

The fourth proportional to 3,605.34, 5,408.10 and 1,008.12 is: 1,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.34 : 5,408.10 = 1,008.12 : x
  2. Step 2: Convert to fraction form
    3,605.34/5,408.10 = 1,008.12/x
  3. Step 3: Cross multiply
    3,605.34x = 5,408.10 × 1,008.12
  4. Step 4: Simplify right side
    3,605.34x = 5,452,013.77
  5. Step 5: Solve for x
    x = 5,452,013.77/3,605.34
  6. Step 6: Final answer
    x = 1,512.21

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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.