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Finding the Fourth Proportional to 5,388.48, 7,416.84 and 3,813.84

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Solution

The fourth proportional to 5,388.48, 7,416.84 and 3,813.84 is: 5,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.48 : 7,416.84 = 3,813.84 : x
  2. Step 2: Convert to fraction form
    5,388.48/7,416.84 = 3,813.84/x
  3. Step 3: Cross multiply
    5,388.48x = 7,416.84 × 3,813.84
  4. Step 4: Simplify right side
    5,388.48x = 28,286,641.07
  5. Step 5: Solve for x
    x = 28,286,641.07/5,388.48
  6. Step 6: Final answer
    x = 5,249.47

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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.