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Finding the Fourth Proportional to 4,114.84, 6,165.78 and 2,263.20

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Solution

The fourth proportional to 4,114.84, 6,165.78 and 2,263.20 is: 3,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.84 : 6,165.78 = 2,263.20 : x
  2. Step 2: Convert to fraction form
    4,114.84/6,165.78 = 2,263.20/x
  3. Step 3: Cross multiply
    4,114.84x = 6,165.78 × 2,263.20
  4. Step 4: Simplify right side
    4,114.84x = 13,954,393.30
  5. Step 5: Solve for x
    x = 13,954,393.30/4,114.84
  6. Step 6: Final answer
    x = 3,391.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.