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Finding the Fourth Proportional to 5,188.25, 7,157.73 and 2,919.07

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Solution

The fourth proportional to 5,188.25, 7,157.73 and 2,919.07 is: 4,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.25 : 7,157.73 = 2,919.07 : x
  2. Step 2: Convert to fraction form
    5,188.25/7,157.73 = 2,919.07/x
  3. Step 3: Cross multiply
    5,188.25x = 7,157.73 × 2,919.07
  4. Step 4: Simplify right side
    5,188.25x = 20,893,934.80
  5. Step 5: Solve for x
    x = 20,893,934.80/5,188.25
  6. Step 6: Final answer
    x = 4,027.16

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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.