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Finding the Fourth Proportional to 4,274.75, 5,899.16 and 2,411.75

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Solution

The fourth proportional to 4,274.75, 5,899.16 and 2,411.75 is: 3,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.75 : 5,899.16 = 2,411.75 : x
  2. Step 2: Convert to fraction form
    4,274.75/5,899.16 = 2,411.75/x
  3. Step 3: Cross multiply
    4,274.75x = 5,899.16 × 2,411.75
  4. Step 4: Simplify right side
    4,274.75x = 14,227,299.13
  5. Step 5: Solve for x
    x = 14,227,299.13/4,274.75
  6. Step 6: Final answer
    x = 3,328.22

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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.