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Finding the Fourth Proportional to 3,773.63, 5,661.36 and 1,308.40

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Solution

The fourth proportional to 3,773.63, 5,661.36 and 1,308.40 is: 1,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.63 : 5,661.36 = 1,308.40 : x
  2. Step 2: Convert to fraction form
    3,773.63/5,661.36 = 1,308.40/x
  3. Step 3: Cross multiply
    3,773.63x = 5,661.36 × 1,308.40
  4. Step 4: Simplify right side
    3,773.63x = 7,407,309.27
  5. Step 5: Solve for x
    x = 7,407,309.27/3,773.63
  6. Step 6: Final answer
    x = 1,962.91

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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.