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Finding the Fourth Proportional to 4,937.48, 7,408.05 and 2,306.47

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Solution

The fourth proportional to 4,937.48, 7,408.05 and 2,306.47 is: 3,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.48 : 7,408.05 = 2,306.47 : x
  2. Step 2: Convert to fraction form
    4,937.48/7,408.05 = 2,306.47/x
  3. Step 3: Cross multiply
    4,937.48x = 7,408.05 × 2,306.47
  4. Step 4: Simplify right side
    4,937.48x = 17,086,445.08
  5. Step 5: Solve for x
    x = 17,086,445.08/4,937.48
  6. Step 6: Final answer
    x = 3,460.56

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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.