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Finding the Fourth Proportional to 5,693.56, 8,530.62 and 3,091.84

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Solution

The fourth proportional to 5,693.56, 8,530.62 and 3,091.84 is: 4,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.56 : 8,530.62 = 3,091.84 : x
  2. Step 2: Convert to fraction form
    5,693.56/8,530.62 = 3,091.84/x
  3. Step 3: Cross multiply
    5,693.56x = 8,530.62 × 3,091.84
  4. Step 4: Simplify right side
    5,693.56x = 26,375,312.14
  5. Step 5: Solve for x
    x = 26,375,312.14/5,693.56
  6. Step 6: Final answer
    x = 4,632.48

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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.