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Finding the Fourth Proportional to 3,853.62, 5,308.47 and 3,655.98

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Solution

The fourth proportional to 3,853.62, 5,308.47 and 3,655.98 is: 5,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.62 : 5,308.47 = 3,655.98 : x
  2. Step 2: Convert to fraction form
    3,853.62/5,308.47 = 3,655.98/x
  3. Step 3: Cross multiply
    3,853.62x = 5,308.47 × 3,655.98
  4. Step 4: Simplify right side
    3,853.62x = 19,407,660.15
  5. Step 5: Solve for x
    x = 19,407,660.15/3,853.62
  6. Step 6: Final answer
    x = 5,036.22

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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.