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Finding the Fourth Proportional to 5,324.32, 7,349.82 and 3,412.60

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Solution

The fourth proportional to 5,324.32, 7,349.82 and 3,412.60 is: 4,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.32 : 7,349.82 = 3,412.60 : x
  2. Step 2: Convert to fraction form
    5,324.32/7,349.82 = 3,412.60/x
  3. Step 3: Cross multiply
    5,324.32x = 7,349.82 × 3,412.60
  4. Step 4: Simplify right side
    5,324.32x = 25,081,995.73
  5. Step 5: Solve for x
    x = 25,081,995.73/5,324.32
  6. Step 6: Final answer
    x = 4,710.84

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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.