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Finding the Fourth Proportional to 5,297.06, 7,976.55 and 3,920.10

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Solution

The fourth proportional to 5,297.06, 7,976.55 and 3,920.10 is: 5,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.06 : 7,976.55 = 3,920.10 : x
  2. Step 2: Convert to fraction form
    5,297.06/7,976.55 = 3,920.10/x
  3. Step 3: Cross multiply
    5,297.06x = 7,976.55 × 3,920.10
  4. Step 4: Simplify right side
    5,297.06x = 31,268,873.66
  5. Step 5: Solve for x
    x = 31,268,873.66/5,297.06
  6. Step 6: Final answer
    x = 5,903.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.