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Finding the Fourth Proportional to 3,442.37, 4,752.09 and 2,380.46

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Solution

The fourth proportional to 3,442.37, 4,752.09 and 2,380.46 is: 3,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.37 : 4,752.09 = 2,380.46 : x
  2. Step 2: Convert to fraction form
    3,442.37/4,752.09 = 2,380.46/x
  3. Step 3: Cross multiply
    3,442.37x = 4,752.09 × 2,380.46
  4. Step 4: Simplify right side
    3,442.37x = 11,312,136.40
  5. Step 5: Solve for x
    x = 11,312,136.40/3,442.37
  6. Step 6: Final answer
    x = 3,286.15

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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.