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Finding the Fourth Proportional to 5,728.68, 8,574.30 and 3,539.16

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Solution

The fourth proportional to 5,728.68, 8,574.30 and 3,539.16 is: 5,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.68 : 8,574.30 = 3,539.16 : x
  2. Step 2: Convert to fraction form
    5,728.68/8,574.30 = 3,539.16/x
  3. Step 3: Cross multiply
    5,728.68x = 8,574.30 × 3,539.16
  4. Step 4: Simplify right side
    5,728.68x = 30,345,819.59
  5. Step 5: Solve for x
    x = 30,345,819.59/5,728.68
  6. Step 6: Final answer
    x = 5,297.17

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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.