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Finding the Fourth Proportional to 3,721.96, 5,574.03 and 2,416.24

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Solution

The fourth proportional to 3,721.96, 5,574.03 and 2,416.24 is: 3,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.96 : 5,574.03 = 2,416.24 : x
  2. Step 2: Convert to fraction form
    3,721.96/5,574.03 = 2,416.24/x
  3. Step 3: Cross multiply
    3,721.96x = 5,574.03 × 2,416.24
  4. Step 4: Simplify right side
    3,721.96x = 13,468,194.25
  5. Step 5: Solve for x
    x = 13,468,194.25/3,721.96
  6. Step 6: Final answer
    x = 3,618.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.