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Finding the Fourth Proportional to 5,297.28, 7,308.12 and 3,408.49

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Solution

The fourth proportional to 5,297.28, 7,308.12 and 3,408.49 is: 4,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.28 : 7,308.12 = 3,408.49 : x
  2. Step 2: Convert to fraction form
    5,297.28/7,308.12 = 3,408.49/x
  3. Step 3: Cross multiply
    5,297.28x = 7,308.12 × 3,408.49
  4. Step 4: Simplify right side
    5,297.28x = 24,909,653.94
  5. Step 5: Solve for x
    x = 24,909,653.94/5,297.28
  6. Step 6: Final answer
    x = 4,702.35

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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.