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Finding the Fourth Proportional to 5,238, 7,225.20 and 4,192.56

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Solution

The fourth proportional to 5,238, 7,225.20 and 4,192.56 is: 5,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,225.20 = 4,192.56 : x
  2. Step 2: Convert to fraction form
    5,238/7,225.20 = 4,192.56/x
  3. Step 3: Cross multiply
    5,238x = 7,225.20 × 4,192.56
  4. Step 4: Simplify right side
    5,238x = 30,292,084.51
  5. Step 5: Solve for x
    x = 30,292,084.51/5,238
  6. Step 6: Final answer
    x = 5,783.14

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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.