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Finding the Fourth Proportional to 4,230.78, 5,840.01 and 3,443.46

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Solution

The fourth proportional to 4,230.78, 5,840.01 and 3,443.46 is: 4,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.78 : 5,840.01 = 3,443.46 : x
  2. Step 2: Convert to fraction form
    4,230.78/5,840.01 = 3,443.46/x
  3. Step 3: Cross multiply
    4,230.78x = 5,840.01 × 3,443.46
  4. Step 4: Simplify right side
    4,230.78x = 20,109,840.83
  5. Step 5: Solve for x
    x = 20,109,840.83/4,230.78
  6. Step 6: Final answer
    x = 4,753.22

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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.