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Finding the Fourth Proportional to 3,762.72, 5,643.40 and 2,203.47

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Solution

The fourth proportional to 3,762.72, 5,643.40 and 2,203.47 is: 3,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.72 : 5,643.40 = 2,203.47 : x
  2. Step 2: Convert to fraction form
    3,762.72/5,643.40 = 2,203.47/x
  3. Step 3: Cross multiply
    3,762.72x = 5,643.40 × 2,203.47
  4. Step 4: Simplify right side
    3,762.72x = 12,435,062.60
  5. Step 5: Solve for x
    x = 12,435,062.60/3,762.72
  6. Step 6: Final answer
    x = 3,304.81

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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.