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Finding the Fourth Proportional to 5,390.54, 8,090 and 2,469.01

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Solution

The fourth proportional to 5,390.54, 8,090 and 2,469.01 is: 3,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.54 : 8,090 = 2,469.01 : x
  2. Step 2: Convert to fraction form
    5,390.54/8,090 = 2,469.01/x
  3. Step 3: Cross multiply
    5,390.54x = 8,090 × 2,469.01
  4. Step 4: Simplify right side
    5,390.54x = 19,974,290.90
  5. Step 5: Solve for x
    x = 19,974,290.90/5,390.54
  6. Step 6: Final answer
    x = 3,705.43

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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.