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Finding the Fourth Proportional to 4,398.48, 6,623.82 and 3,828.24

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Solution

The fourth proportional to 4,398.48, 6,623.82 and 3,828.24 is: 5,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.48 : 6,623.82 = 3,828.24 : x
  2. Step 2: Convert to fraction form
    4,398.48/6,623.82 = 3,828.24/x
  3. Step 3: Cross multiply
    4,398.48x = 6,623.82 × 3,828.24
  4. Step 4: Simplify right side
    4,398.48x = 25,357,572.68
  5. Step 5: Solve for x
    x = 25,357,572.68/4,398.48
  6. Step 6: Final answer
    x = 5,765.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.