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Finding the Fourth Proportional to 3,698.64, 5,105.16 and 2,206.08

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Solution

The fourth proportional to 3,698.64, 5,105.16 and 2,206.08 is: 3,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.64 : 5,105.16 = 2,206.08 : x
  2. Step 2: Convert to fraction form
    3,698.64/5,105.16 = 2,206.08/x
  3. Step 3: Cross multiply
    3,698.64x = 5,105.16 × 2,206.08
  4. Step 4: Simplify right side
    3,698.64x = 11,262,391.37
  5. Step 5: Solve for x
    x = 11,262,391.37/3,698.64
  6. Step 6: Final answer
    x = 3,045.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.