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Finding the Fourth Proportional to 5,394.87, 8,078.27 and 5,066.51

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Solution

The fourth proportional to 5,394.87, 8,078.27 and 5,066.51 is: 7,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.87 : 8,078.27 = 5,066.51 : x
  2. Step 2: Convert to fraction form
    5,394.87/8,078.27 = 5,066.51/x
  3. Step 3: Cross multiply
    5,394.87x = 8,078.27 × 5,066.51
  4. Step 4: Simplify right side
    5,394.87x = 40,928,570.01
  5. Step 5: Solve for x
    x = 40,928,570.01/5,394.87
  6. Step 6: Final answer
    x = 7,586.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.