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Finding the Fourth Proportional to 5,240, 7,232.82 and 3,377

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Solution

The fourth proportional to 5,240, 7,232.82 and 3,377 is: 4,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240 : 7,232.82 = 3,377 : x
  2. Step 2: Convert to fraction form
    5,240/7,232.82 = 3,377/x
  3. Step 3: Cross multiply
    5,240x = 7,232.82 × 3,377
  4. Step 4: Simplify right side
    5,240x = 24,425,233.14
  5. Step 5: Solve for x
    x = 24,425,233.14/5,240
  6. Step 6: Final answer
    x = 4,661.30

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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.