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Finding the Fourth Proportional to 5,097.43, 7,034.51 and 2,828.81

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Solution

The fourth proportional to 5,097.43, 7,034.51 and 2,828.81 is: 3,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.43 : 7,034.51 = 2,828.81 : x
  2. Step 2: Convert to fraction form
    5,097.43/7,034.51 = 2,828.81/x
  3. Step 3: Cross multiply
    5,097.43x = 7,034.51 × 2,828.81
  4. Step 4: Simplify right side
    5,097.43x = 19,899,316.89
  5. Step 5: Solve for x
    x = 19,899,316.89/5,097.43
  6. Step 6: Final answer
    x = 3,903.79

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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.