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Finding the Fourth Proportional to 3,537.35, 4,882.22 and 2,342.35

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Solution

The fourth proportional to 3,537.35, 4,882.22 and 2,342.35 is: 3,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.35 : 4,882.22 = 2,342.35 : x
  2. Step 2: Convert to fraction form
    3,537.35/4,882.22 = 2,342.35/x
  3. Step 3: Cross multiply
    3,537.35x = 4,882.22 × 2,342.35
  4. Step 4: Simplify right side
    3,537.35x = 11,435,871.19
  5. Step 5: Solve for x
    x = 11,435,871.19/3,537.35
  6. Step 6: Final answer
    x = 3,232.89

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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.