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Finding the Fourth Proportional to 5,188.98, 7,161.60 and 3,064.74

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Solution

The fourth proportional to 5,188.98, 7,161.60 and 3,064.74 is: 4,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.98 : 7,161.60 = 3,064.74 : x
  2. Step 2: Convert to fraction form
    5,188.98/7,161.60 = 3,064.74/x
  3. Step 3: Cross multiply
    5,188.98x = 7,161.60 × 3,064.74
  4. Step 4: Simplify right side
    5,188.98x = 21,948,426.66
  5. Step 5: Solve for x
    x = 21,948,426.66/5,188.98
  6. Step 6: Final answer
    x = 4,229.82

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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.