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Finding the Fourth Proportional to 4,168.94, 5,753.76 and 2,400.21

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Solution

The fourth proportional to 4,168.94, 5,753.76 and 2,400.21 is: 3,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.94 : 5,753.76 = 2,400.21 : x
  2. Step 2: Convert to fraction form
    4,168.94/5,753.76 = 2,400.21/x
  3. Step 3: Cross multiply
    4,168.94x = 5,753.76 × 2,400.21
  4. Step 4: Simplify right side
    4,168.94x = 13,810,232.29
  5. Step 5: Solve for x
    x = 13,810,232.29/4,168.94
  6. Step 6: Final answer
    x = 3,312.65

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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.