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Finding the Fourth Proportional to 3,698.79, 5,097.32 and 2,649.03

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Solution

The fourth proportional to 3,698.79, 5,097.32 and 2,649.03 is: 3,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.79 : 5,097.32 = 2,649.03 : x
  2. Step 2: Convert to fraction form
    3,698.79/5,097.32 = 2,649.03/x
  3. Step 3: Cross multiply
    3,698.79x = 5,097.32 × 2,649.03
  4. Step 4: Simplify right side
    3,698.79x = 13,502,940.35
  5. Step 5: Solve for x
    x = 13,502,940.35/3,698.79
  6. Step 6: Final answer
    x = 3,650.64

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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.