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Finding the Fourth Proportional to 5,754,064.98, 7,940,570.54 and 3,175,745.70

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Solution

The fourth proportional to 5,754,064.98, 7,940,570.54 and 3,175,745.70 is: 4,382,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754,064.98 : 7,940,570.54 = 3,175,745.70 : x
  2. Step 2: Convert to fraction form
    5,754,064.98/7,940,570.54 = 3,175,745.70/x
  3. Step 3: Cross multiply
    5,754,064.98x = 7,940,570.54 × 3,175,745.70
  4. Step 4: Simplify right side
    5,754,064.98x = 25,217,232,732,072.95
  5. Step 5: Solve for x
    x = 25,217,232,732,072.95/5,754,064.98
  6. Step 6: Final answer
    x = 4,382,507.47

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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.