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Finding the Fourth Proportional to 3,475.93, 5,212.97 and 1,502.25

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Solution

The fourth proportional to 3,475.93, 5,212.97 and 1,502.25 is: 2,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.93 : 5,212.97 = 1,502.25 : x
  2. Step 2: Convert to fraction form
    3,475.93/5,212.97 = 1,502.25/x
  3. Step 3: Cross multiply
    3,475.93x = 5,212.97 × 1,502.25
  4. Step 4: Simplify right side
    3,475.93x = 7,831,171.21
  5. Step 5: Solve for x
    x = 7,831,171.21/3,475.93
  6. Step 6: Final answer
    x = 2,252.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.