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Finding the Fourth Proportional to 5,202, 7,176.52 and 3,408.88

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Solution

The fourth proportional to 5,202, 7,176.52 and 3,408.88 is: 4,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 7,176.52 = 3,408.88 : x
  2. Step 2: Convert to fraction form
    5,202/7,176.52 = 3,408.88/x
  3. Step 3: Cross multiply
    5,202x = 7,176.52 × 3,408.88
  4. Step 4: Simplify right side
    5,202x = 24,463,895.50
  5. Step 5: Solve for x
    x = 24,463,895.50/5,202
  6. Step 6: Final answer
    x = 4,702.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.