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Finding the Fourth Proportional to 4,202.12, 5,798.70 and 2,339

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Solution

The fourth proportional to 4,202.12, 5,798.70 and 2,339 is: 3,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.12 : 5,798.70 = 2,339 : x
  2. Step 2: Convert to fraction form
    4,202.12/5,798.70 = 2,339/x
  3. Step 3: Cross multiply
    4,202.12x = 5,798.70 × 2,339
  4. Step 4: Simplify right side
    4,202.12x = 13,563,159.30
  5. Step 5: Solve for x
    x = 13,563,159.30/4,202.12
  6. Step 6: Final answer
    x = 3,227.69

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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.