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Finding the Fourth Proportional to 3,698.02, 5,102.22 and 2,281.24

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Solution

The fourth proportional to 3,698.02, 5,102.22 and 2,281.24 is: 3,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.02 : 5,102.22 = 2,281.24 : x
  2. Step 2: Convert to fraction form
    3,698.02/5,102.22 = 2,281.24/x
  3. Step 3: Cross multiply
    3,698.02x = 5,102.22 × 2,281.24
  4. Step 4: Simplify right side
    3,698.02x = 11,639,388.35
  5. Step 5: Solve for x
    x = 11,639,388.35/3,698.02
  6. Step 6: Final answer
    x = 3,147.46

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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.