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Finding the Fourth Proportional to 3,669.66, 5,064.13 and 2,097.79

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Solution

The fourth proportional to 3,669.66, 5,064.13 and 2,097.79 is: 2,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.66 : 5,064.13 = 2,097.79 : x
  2. Step 2: Convert to fraction form
    3,669.66/5,064.13 = 2,097.79/x
  3. Step 3: Cross multiply
    3,669.66x = 5,064.13 × 2,097.79
  4. Step 4: Simplify right side
    3,669.66x = 10,623,463.37
  5. Step 5: Solve for x
    x = 10,623,463.37/3,669.66
  6. Step 6: Final answer
    x = 2,894.94

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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.