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Finding the Fourth Proportional to 5,811.82, 8,006.75 and 4,040.35

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Solution

The fourth proportional to 5,811.82, 8,006.75 and 4,040.35 is: 5,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.82 : 8,006.75 = 4,040.35 : x
  2. Step 2: Convert to fraction form
    5,811.82/8,006.75 = 4,040.35/x
  3. Step 3: Cross multiply
    5,811.82x = 8,006.75 × 4,040.35
  4. Step 4: Simplify right side
    5,811.82x = 32,350,047.30
  5. Step 5: Solve for x
    x = 32,350,047.30/5,811.82
  6. Step 6: Final answer
    x = 5,566.25

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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.