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Finding the Fourth Proportional to 5,210, 7,190.04 and 2,852.24

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Solution

The fourth proportional to 5,210, 7,190.04 and 2,852.24 is: 3,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210 : 7,190.04 = 2,852.24 : x
  2. Step 2: Convert to fraction form
    5,210/7,190.04 = 2,852.24/x
  3. Step 3: Cross multiply
    5,210x = 7,190.04 × 2,852.24
  4. Step 4: Simplify right side
    5,210x = 20,507,719.69
  5. Step 5: Solve for x
    x = 20,507,719.69/5,210
  6. Step 6: Final answer
    x = 3,936.22

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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.