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Finding the Fourth Proportional to 5,721.48, 7,894.68 and 3,203.16

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Solution

The fourth proportional to 5,721.48, 7,894.68 and 3,203.16 is: 4,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.48 : 7,894.68 = 3,203.16 : x
  2. Step 2: Convert to fraction form
    5,721.48/7,894.68 = 3,203.16/x
  3. Step 3: Cross multiply
    5,721.48x = 7,894.68 × 3,203.16
  4. Step 4: Simplify right side
    5,721.48x = 25,287,923.19
  5. Step 5: Solve for x
    x = 25,287,923.19/5,721.48
  6. Step 6: Final answer
    x = 4,419.82

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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.