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Finding the Fourth Proportional to 4,238.65, 5,850.81 and 2,471.74

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Solution

The fourth proportional to 4,238.65, 5,850.81 and 2,471.74 is: 3,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.65 : 5,850.81 = 2,471.74 : x
  2. Step 2: Convert to fraction form
    4,238.65/5,850.81 = 2,471.74/x
  3. Step 3: Cross multiply
    4,238.65x = 5,850.81 × 2,471.74
  4. Step 4: Simplify right side
    4,238.65x = 14,461,681.11
  5. Step 5: Solve for x
    x = 14,461,681.11/4,238.65
  6. Step 6: Final answer
    x = 3,411.86

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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.