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Finding the Fourth Proportional to 3,699.97, 5,552.91 and 1,946.01

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Solution

The fourth proportional to 3,699.97, 5,552.91 and 1,946.01 is: 2,920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.97 : 5,552.91 = 1,946.01 : x
  2. Step 2: Convert to fraction form
    3,699.97/5,552.91 = 1,946.01/x
  3. Step 3: Cross multiply
    3,699.97x = 5,552.91 × 1,946.01
  4. Step 4: Simplify right side
    3,699.97x = 10,806,018.39
  5. Step 5: Solve for x
    x = 10,806,018.39/3,699.97
  6. Step 6: Final answer
    x = 2,920.57

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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.