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Finding the Fourth Proportional to 5,468.13, 8,202.45 and 1,770.65

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Solution

The fourth proportional to 5,468.13, 8,202.45 and 1,770.65 is: 2,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.13 : 8,202.45 = 1,770.65 : x
  2. Step 2: Convert to fraction form
    5,468.13/8,202.45 = 1,770.65/x
  3. Step 3: Cross multiply
    5,468.13x = 8,202.45 × 1,770.65
  4. Step 4: Simplify right side
    5,468.13x = 14,523,693.03
  5. Step 5: Solve for x
    x = 14,523,693.03/5,468.13
  6. Step 6: Final answer
    x = 2,656.06

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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.