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Finding the Fourth Proportional to 6,164.42, 8,504.33 and 4,040.46

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Solution

The fourth proportional to 6,164.42, 8,504.33 and 4,040.46 is: 5,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.42 : 8,504.33 = 4,040.46 : x
  2. Step 2: Convert to fraction form
    6,164.42/8,504.33 = 4,040.46/x
  3. Step 3: Cross multiply
    6,164.42x = 8,504.33 × 4,040.46
  4. Step 4: Simplify right side
    6,164.42x = 34,361,384.99
  5. Step 5: Solve for x
    x = 34,361,384.99/6,164.42
  6. Step 6: Final answer
    x = 5,574.15

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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.