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Finding the Fourth Proportional to 5,188.28, 7,155 and 3,416.80

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Solution

The fourth proportional to 5,188.28, 7,155 and 3,416.80 is: 4,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.28 : 7,155 = 3,416.80 : x
  2. Step 2: Convert to fraction form
    5,188.28/7,155 = 3,416.80/x
  3. Step 3: Cross multiply
    5,188.28x = 7,155 × 3,416.80
  4. Step 4: Simplify right side
    5,188.28x = 24,447,204
  5. Step 5: Solve for x
    x = 24,447,204/5,188.28
  6. Step 6: Final answer
    x = 4,712.01

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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.