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Finding the Fourth Proportional to 5,382.67, 7,427.26 and 3,024.36

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Solution

The fourth proportional to 5,382.67, 7,427.26 and 3,024.36 is: 4,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.67 : 7,427.26 = 3,024.36 : x
  2. Step 2: Convert to fraction form
    5,382.67/7,427.26 = 3,024.36/x
  3. Step 3: Cross multiply
    5,382.67x = 7,427.26 × 3,024.36
  4. Step 4: Simplify right side
    5,382.67x = 22,462,708.05
  5. Step 5: Solve for x
    x = 22,462,708.05/5,382.67
  6. Step 6: Final answer
    x = 4,173.15

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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.