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Finding the Fourth Proportional to 5,408.01, 7,459.43 and 4,232.97

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Solution

The fourth proportional to 5,408.01, 7,459.43 and 4,232.97 is: 5,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.01 : 7,459.43 = 4,232.97 : x
  2. Step 2: Convert to fraction form
    5,408.01/7,459.43 = 4,232.97/x
  3. Step 3: Cross multiply
    5,408.01x = 7,459.43 × 4,232.97
  4. Step 4: Simplify right side
    5,408.01x = 31,575,522.24
  5. Step 5: Solve for x
    x = 31,575,522.24/5,408.01
  6. Step 6: Final answer
    x = 5,838.66

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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.