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Finding the Fourth Proportional to 5,727.66, 7,904.73 and 3,210.20

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Solution

The fourth proportional to 5,727.66, 7,904.73 and 3,210.20 is: 4,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.66 : 7,904.73 = 3,210.20 : x
  2. Step 2: Convert to fraction form
    5,727.66/7,904.73 = 3,210.20/x
  3. Step 3: Cross multiply
    5,727.66x = 7,904.73 × 3,210.20
  4. Step 4: Simplify right side
    5,727.66x = 25,375,764.25
  5. Step 5: Solve for x
    x = 25,375,764.25/5,727.66
  6. Step 6: Final answer
    x = 4,430.39

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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.