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Finding the Fourth Proportional to 5,811.06, 8,040.38 and 5,066.57

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Solution

The fourth proportional to 5,811.06, 8,040.38 and 5,066.57 is: 7,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.06 : 8,040.38 = 5,066.57 : x
  2. Step 2: Convert to fraction form
    5,811.06/8,040.38 = 5,066.57/x
  3. Step 3: Cross multiply
    5,811.06x = 8,040.38 × 5,066.57
  4. Step 4: Simplify right side
    5,811.06x = 40,737,148.10
  5. Step 5: Solve for x
    x = 40,737,148.10/5,811.06
  6. Step 6: Final answer
    x = 7,010.28

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Why These Related Problems?

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