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Finding the Fourth Proportional to 5,157.16, 7,116.84 and 2,919

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Solution

The fourth proportional to 5,157.16, 7,116.84 and 2,919 is: 4,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.16 : 7,116.84 = 2,919 : x
  2. Step 2: Convert to fraction form
    5,157.16/7,116.84 = 2,919/x
  3. Step 3: Cross multiply
    5,157.16x = 7,116.84 × 2,919
  4. Step 4: Simplify right side
    5,157.16x = 20,774,055.96
  5. Step 5: Solve for x
    x = 20,774,055.96/5,157.16
  6. Step 6: Final answer
    x = 4,028.20

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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.