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Finding the Fourth Proportional to 5,534.08, 8,301.90 and 2,071

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Solution

The fourth proportional to 5,534.08, 8,301.90 and 2,071 is: 3,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.08 : 8,301.90 = 2,071 : x
  2. Step 2: Convert to fraction form
    5,534.08/8,301.90 = 2,071/x
  3. Step 3: Cross multiply
    5,534.08x = 8,301.90 × 2,071
  4. Step 4: Simplify right side
    5,534.08x = 17,193,234.90
  5. Step 5: Solve for x
    x = 17,193,234.90/5,534.08
  6. Step 6: Final answer
    x = 3,106.79

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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.