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Finding the Fourth Proportional to 4,227.71, 5,835.41 and 2,459.65

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Solution

The fourth proportional to 4,227.71, 5,835.41 and 2,459.65 is: 3,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.71 : 5,835.41 = 2,459.65 : x
  2. Step 2: Convert to fraction form
    4,227.71/5,835.41 = 2,459.65/x
  3. Step 3: Cross multiply
    4,227.71x = 5,835.41 × 2,459.65
  4. Step 4: Simplify right side
    4,227.71x = 14,353,059.48
  5. Step 5: Solve for x
    x = 14,353,059.48/4,227.71
  6. Step 6: Final answer
    x = 3,395.00

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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.