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Finding the Fourth Proportional to 5,390.90, 8,089.44 and 2,103.23

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Solution

The fourth proportional to 5,390.90, 8,089.44 and 2,103.23 is: 3,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.90 : 8,089.44 = 2,103.23 : x
  2. Step 2: Convert to fraction form
    5,390.90/8,089.44 = 2,103.23/x
  3. Step 3: Cross multiply
    5,390.90x = 8,089.44 × 2,103.23
  4. Step 4: Simplify right side
    5,390.90x = 17,013,965.23
  5. Step 5: Solve for x
    x = 17,013,965.23/5,390.90
  6. Step 6: Final answer
    x = 3,156.05

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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.