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Finding the Fourth Proportional to 5,496.66, 8,233.38 and 3,417.66

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Solution

The fourth proportional to 5,496.66, 8,233.38 and 3,417.66 is: 5,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.66 : 8,233.38 = 3,417.66 : x
  2. Step 2: Convert to fraction form
    5,496.66/8,233.38 = 3,417.66/x
  3. Step 3: Cross multiply
    5,496.66x = 8,233.38 × 3,417.66
  4. Step 4: Simplify right side
    5,496.66x = 28,138,893.49
  5. Step 5: Solve for x
    x = 28,138,893.49/5,496.66
  6. Step 6: Final answer
    x = 5,119.27

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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.