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Finding the Fourth Proportional to 5,408.49, 7,459.40 and 3,729.51

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Solution

The fourth proportional to 5,408.49, 7,459.40 and 3,729.51 is: 5,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.49 : 7,459.40 = 3,729.51 : x
  2. Step 2: Convert to fraction form
    5,408.49/7,459.40 = 3,729.51/x
  3. Step 3: Cross multiply
    5,408.49x = 7,459.40 × 3,729.51
  4. Step 4: Simplify right side
    5,408.49x = 27,819,888.25
  5. Step 5: Solve for x
    x = 27,819,888.25/5,408.49
  6. Step 6: Final answer
    x = 5,143.74

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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.