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Finding the Fourth Proportional to 3,760.94, 5,601.64 and 3,563.30

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Solution

The fourth proportional to 3,760.94, 5,601.64 and 3,563.30 is: 5,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.94 : 5,601.64 = 3,563.30 : x
  2. Step 2: Convert to fraction form
    3,760.94/5,601.64 = 3,563.30/x
  3. Step 3: Cross multiply
    3,760.94x = 5,601.64 × 3,563.30
  4. Step 4: Simplify right side
    3,760.94x = 19,960,323.81
  5. Step 5: Solve for x
    x = 19,960,323.81/3,760.94
  6. Step 6: Final answer
    x = 5,307.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.