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Finding the Fourth Proportional to 3,669.65, 5,496.66 and 1,696.90

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Solution

The fourth proportional to 3,669.65, 5,496.66 and 1,696.90 is: 2,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.65 : 5,496.66 = 1,696.90 : x
  2. Step 2: Convert to fraction form
    3,669.65/5,496.66 = 1,696.90/x
  3. Step 3: Cross multiply
    3,669.65x = 5,496.66 × 1,696.90
  4. Step 4: Simplify right side
    3,669.65x = 9,327,254.87
  5. Step 5: Solve for x
    x = 9,327,254.87/3,669.65
  6. Step 6: Final answer
    x = 2,541.73

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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.