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Finding the Fourth Proportional to 5,811.47, 8,040.94 and 5,066.98

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Solution

The fourth proportional to 5,811.47, 8,040.94 and 5,066.98 is: 7,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.47 : 8,040.94 = 5,066.98 : x
  2. Step 2: Convert to fraction form
    5,811.47/8,040.94 = 5,066.98/x
  3. Step 3: Cross multiply
    5,811.47x = 8,040.94 × 5,066.98
  4. Step 4: Simplify right side
    5,811.47x = 40,743,249.39
  5. Step 5: Solve for x
    x = 40,743,249.39/5,811.47
  6. Step 6: Final answer
    x = 7,010.84

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1.5x scale

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.