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Finding the Fourth Proportional to 5,392, 8,087.76 and 2,105.70

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Solution

The fourth proportional to 5,392, 8,087.76 and 2,105.70 is: 3,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392 : 8,087.76 = 2,105.70 : x
  2. Step 2: Convert to fraction form
    5,392/8,087.76 = 2,105.70/x
  3. Step 3: Cross multiply
    5,392x = 8,087.76 × 2,105.70
  4. Step 4: Simplify right side
    5,392x = 17,030,396.23
  5. Step 5: Solve for x
    x = 17,030,396.23/5,392
  6. Step 6: Final answer
    x = 3,158.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.