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Finding the Fourth Proportional to 5,006.88, 7,503.84 and 2,408.40

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Solution

The fourth proportional to 5,006.88, 7,503.84 and 2,408.40 is: 3,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.88 : 7,503.84 = 2,408.40 : x
  2. Step 2: Convert to fraction form
    5,006.88/7,503.84 = 2,408.40/x
  3. Step 3: Cross multiply
    5,006.88x = 7,503.84 × 2,408.40
  4. Step 4: Simplify right side
    5,006.88x = 18,072,248.26
  5. Step 5: Solve for x
    x = 18,072,248.26/5,006.88
  6. Step 6: Final answer
    x = 3,609.48

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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.