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Finding the Fourth Proportional to 5,215.18, 7,817.90 and 1,750

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Solution

The fourth proportional to 5,215.18, 7,817.90 and 1,750 is: 2,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.18 : 7,817.90 = 1,750 : x
  2. Step 2: Convert to fraction form
    5,215.18/7,817.90 = 1,750/x
  3. Step 3: Cross multiply
    5,215.18x = 7,817.90 × 1,750
  4. Step 4: Simplify right side
    5,215.18x = 13,681,325
  5. Step 5: Solve for x
    x = 13,681,325/5,215.18
  6. Step 6: Final answer
    x = 2,623.37

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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.