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Finding the Fourth Proportional to 5,795.67, 8,705.13 and 3,460.24

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Solution

The fourth proportional to 5,795.67, 8,705.13 and 3,460.24 is: 5,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.67 : 8,705.13 = 3,460.24 : x
  2. Step 2: Convert to fraction form
    5,795.67/8,705.13 = 3,460.24/x
  3. Step 3: Cross multiply
    5,795.67x = 8,705.13 × 3,460.24
  4. Step 4: Simplify right side
    5,795.67x = 30,121,839.03
  5. Step 5: Solve for x
    x = 30,121,839.03/5,795.67
  6. Step 6: Final answer
    x = 5,197.30

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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.