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Finding the Fourth Proportional to 5,097.54, 7,034.16 and 2,859.12

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Solution

The fourth proportional to 5,097.54, 7,034.16 and 2,859.12 is: 3,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.54 : 7,034.16 = 2,859.12 : x
  2. Step 2: Convert to fraction form
    5,097.54/7,034.16 = 2,859.12/x
  3. Step 3: Cross multiply
    5,097.54x = 7,034.16 × 2,859.12
  4. Step 4: Simplify right side
    5,097.54x = 20,111,507.54
  5. Step 5: Solve for x
    x = 20,111,507.54/5,097.54
  6. Step 6: Final answer
    x = 3,945.34

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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.