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Finding the Fourth Proportional to 5,382, 7,427.46 and 3,024.29

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Solution

The fourth proportional to 5,382, 7,427.46 and 3,024.29 is: 4,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382 : 7,427.46 = 3,024.29 : x
  2. Step 2: Convert to fraction form
    5,382/7,427.46 = 3,024.29/x
  3. Step 3: Cross multiply
    5,382x = 7,427.46 × 3,024.29
  4. Step 4: Simplify right side
    5,382x = 22,462,755.87
  5. Step 5: Solve for x
    x = 22,462,755.87/5,382
  6. Step 6: Final answer
    x = 4,173.68

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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.