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Finding the Fourth Proportional to 4,117.62, 5,682.26 and 2,349.26

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Solution

The fourth proportional to 4,117.62, 5,682.26 and 2,349.26 is: 3,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.62 : 5,682.26 = 2,349.26 : x
  2. Step 2: Convert to fraction form
    4,117.62/5,682.26 = 2,349.26/x
  3. Step 3: Cross multiply
    4,117.62x = 5,682.26 × 2,349.26
  4. Step 4: Simplify right side
    4,117.62x = 13,349,077.72
  5. Step 5: Solve for x
    x = 13,349,077.72/4,117.62
  6. Step 6: Final answer
    x = 3,241.94

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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.