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Finding the Fourth Proportional to 4,230.06, 5,837.49 and 2,367.06

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Solution

The fourth proportional to 4,230.06, 5,837.49 and 2,367.06 is: 3,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.06 : 5,837.49 = 2,367.06 : x
  2. Step 2: Convert to fraction form
    4,230.06/5,837.49 = 2,367.06/x
  3. Step 3: Cross multiply
    4,230.06x = 5,837.49 × 2,367.06
  4. Step 4: Simplify right side
    4,230.06x = 13,817,689.08
  5. Step 5: Solve for x
    x = 13,817,689.08/4,230.06
  6. Step 6: Final answer
    x = 3,266.55

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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.