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Finding the Fourth Proportional to 4,248.14, 5,864 and 3,648.22

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Solution

The fourth proportional to 4,248.14, 5,864 and 3,648.22 is: 5,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248.14 : 5,864 = 3,648.22 : x
  2. Step 2: Convert to fraction form
    4,248.14/5,864 = 3,648.22/x
  3. Step 3: Cross multiply
    4,248.14x = 5,864 × 3,648.22
  4. Step 4: Simplify right side
    4,248.14x = 21,393,162.08
  5. Step 5: Solve for x
    x = 21,393,162.08/4,248.14
  6. Step 6: Final answer
    x = 5,035.89

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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.