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Finding the Fourth Proportional to 5,107.70, 7,054.56 and 4,089.20

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Solution

The fourth proportional to 5,107.70, 7,054.56 and 4,089.20 is: 5,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.70 : 7,054.56 = 4,089.20 : x
  2. Step 2: Convert to fraction form
    5,107.70/7,054.56 = 4,089.20/x
  3. Step 3: Cross multiply
    5,107.70x = 7,054.56 × 4,089.20
  4. Step 4: Simplify right side
    5,107.70x = 28,847,506.75
  5. Step 5: Solve for x
    x = 28,847,506.75/5,107.70
  6. Step 6: Final answer
    x = 5,647.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.