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Finding the Fourth Proportional to 4,154.48, 5,727.44 and 3,318

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Solution

The fourth proportional to 4,154.48, 5,727.44 and 3,318 is: 4,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.48 : 5,727.44 = 3,318 : x
  2. Step 2: Convert to fraction form
    4,154.48/5,727.44 = 3,318/x
  3. Step 3: Cross multiply
    4,154.48x = 5,727.44 × 3,318
  4. Step 4: Simplify right side
    4,154.48x = 19,003,645.92
  5. Step 5: Solve for x
    x = 19,003,645.92/4,154.48
  6. Step 6: Final answer
    x = 4,574.25

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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.