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Finding the Fourth Proportional to 3,698.06, 5,096.25 and 2,648.30

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Solution

The fourth proportional to 3,698.06, 5,096.25 and 2,648.30 is: 3,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.06 : 5,096.25 = 2,648.30 : x
  2. Step 2: Convert to fraction form
    3,698.06/5,096.25 = 2,648.30/x
  3. Step 3: Cross multiply
    3,698.06x = 5,096.25 × 2,648.30
  4. Step 4: Simplify right side
    3,698.06x = 13,496,373.39
  5. Step 5: Solve for x
    x = 13,496,373.39/3,698.06
  6. Step 6: Final answer
    x = 3,649.59

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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.