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Finding the Fourth Proportional to 5,380.88, 8,026.18 and 5,147.60

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Solution

The fourth proportional to 5,380.88, 8,026.18 and 5,147.60 is: 7,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.88 : 8,026.18 = 5,147.60 : x
  2. Step 2: Convert to fraction form
    5,380.88/8,026.18 = 5,147.60/x
  3. Step 3: Cross multiply
    5,380.88x = 8,026.18 × 5,147.60
  4. Step 4: Simplify right side
    5,380.88x = 41,315,564.17
  5. Step 5: Solve for x
    x = 41,315,564.17/5,380.88
  6. Step 6: Final answer
    x = 7,678.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.