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Finding the Fourth Proportional to 3,700.74, 5,106.66 and 2,208.36

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Solution

The fourth proportional to 3,700.74, 5,106.66 and 2,208.36 is: 3,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.74 : 5,106.66 = 2,208.36 : x
  2. Step 2: Convert to fraction form
    3,700.74/5,106.66 = 2,208.36/x
  3. Step 3: Cross multiply
    3,700.74x = 5,106.66 × 2,208.36
  4. Step 4: Simplify right side
    3,700.74x = 11,277,343.68
  5. Step 5: Solve for x
    x = 11,277,343.68/3,700.74
  6. Step 6: Final answer
    x = 3,047.32

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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.