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Finding the Fourth Proportional to 5,971.14, 8,240.40 and 4,476.42

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Solution

The fourth proportional to 5,971.14, 8,240.40 and 4,476.42 is: 6,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.14 : 8,240.40 = 4,476.42 : x
  2. Step 2: Convert to fraction form
    5,971.14/8,240.40 = 4,476.42/x
  3. Step 3: Cross multiply
    5,971.14x = 8,240.40 × 4,476.42
  4. Step 4: Simplify right side
    5,971.14x = 36,887,491.37
  5. Step 5: Solve for x
    x = 36,887,491.37/5,971.14
  6. Step 6: Final answer
    x = 6,177.63

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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.