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Finding the Fourth Proportional to 5,146.19, 7,721.13 and 2,024.47

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Solution

The fourth proportional to 5,146.19, 7,721.13 and 2,024.47 is: 3,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.19 : 7,721.13 = 2,024.47 : x
  2. Step 2: Convert to fraction form
    5,146.19/7,721.13 = 2,024.47/x
  3. Step 3: Cross multiply
    5,146.19x = 7,721.13 × 2,024.47
  4. Step 4: Simplify right side
    5,146.19x = 15,631,147.32
  5. Step 5: Solve for x
    x = 15,631,147.32/5,146.19
  6. Step 6: Final answer
    x = 3,037.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.