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Finding the Fourth Proportional to 3,668.88, 5,064.18 and 2,098.02

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Solution

The fourth proportional to 3,668.88, 5,064.18 and 2,098.02 is: 2,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.88 : 5,064.18 = 2,098.02 : x
  2. Step 2: Convert to fraction form
    3,668.88/5,064.18 = 2,098.02/x
  3. Step 3: Cross multiply
    3,668.88x = 5,064.18 × 2,098.02
  4. Step 4: Simplify right side
    3,668.88x = 10,624,750.92
  5. Step 5: Solve for x
    x = 10,624,750.92/3,668.88
  6. Step 6: Final answer
    x = 2,895.91

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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.