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Finding the Fourth Proportional to 4,133.61, 5,704.11 and 2,365.20

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Solution

The fourth proportional to 4,133.61, 5,704.11 and 2,365.20 is: 3,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.61 : 5,704.11 = 2,365.20 : x
  2. Step 2: Convert to fraction form
    4,133.61/5,704.11 = 2,365.20/x
  3. Step 3: Cross multiply
    4,133.61x = 5,704.11 × 2,365.20
  4. Step 4: Simplify right side
    4,133.61x = 13,491,360.97
  5. Step 5: Solve for x
    x = 13,491,360.97/4,133.61
  6. Step 6: Final answer
    x = 3,263.82

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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.