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Finding the Fourth Proportional to 5,157.09, 7,116.44 and 2,919.20

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Solution

The fourth proportional to 5,157.09, 7,116.44 and 2,919.20 is: 4,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.09 : 7,116.44 = 2,919.20 : x
  2. Step 2: Convert to fraction form
    5,157.09/7,116.44 = 2,919.20/x
  3. Step 3: Cross multiply
    5,157.09x = 7,116.44 × 2,919.20
  4. Step 4: Simplify right side
    5,157.09x = 20,774,261.47
  5. Step 5: Solve for x
    x = 20,774,261.47/5,157.09
  6. Step 6: Final answer
    x = 4,028.29

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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.