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Finding the Fourth Proportional to 4,099.89, 5,658.36 and 2,331.93

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Solution

The fourth proportional to 4,099.89, 5,658.36 and 2,331.93 is: 3,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.89 : 5,658.36 = 2,331.93 : x
  2. Step 2: Convert to fraction form
    4,099.89/5,658.36 = 2,331.93/x
  3. Step 3: Cross multiply
    4,099.89x = 5,658.36 × 2,331.93
  4. Step 4: Simplify right side
    4,099.89x = 13,194,899.43
  5. Step 5: Solve for x
    x = 13,194,899.43/4,099.89
  6. Step 6: Final answer
    x = 3,218.35

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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.