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Finding the Fourth Proportional to 3,668.74, 5,062.78 and 1,990.08

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Solution

The fourth proportional to 3,668.74, 5,062.78 and 1,990.08 is: 2,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.74 : 5,062.78 = 1,990.08 : x
  2. Step 2: Convert to fraction form
    3,668.74/5,062.78 = 1,990.08/x
  3. Step 3: Cross multiply
    3,668.74x = 5,062.78 × 1,990.08
  4. Step 4: Simplify right side
    3,668.74x = 10,075,332.25
  5. Step 5: Solve for x
    x = 10,075,332.25/3,668.74
  6. Step 6: Final answer
    x = 2,746.27

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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.