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Finding the Fourth Proportional to 5,424.75, 7,484.85 and 3,408.53

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Solution

The fourth proportional to 5,424.75, 7,484.85 and 3,408.53 is: 4,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.75 : 7,484.85 = 3,408.53 : x
  2. Step 2: Convert to fraction form
    5,424.75/7,484.85 = 3,408.53/x
  3. Step 3: Cross multiply
    5,424.75x = 7,484.85 × 3,408.53
  4. Step 4: Simplify right side
    5,424.75x = 25,512,298.35
  5. Step 5: Solve for x
    x = 25,512,298.35/5,424.75
  6. Step 6: Final answer
    x = 4,702.94

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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.