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Finding the Fourth Proportional to 5,097.52, 7,034.34 and 3,001.24

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Solution

The fourth proportional to 5,097.52, 7,034.34 and 3,001.24 is: 4,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.52 : 7,034.34 = 3,001.24 : x
  2. Step 2: Convert to fraction form
    5,097.52/7,034.34 = 3,001.24/x
  3. Step 3: Cross multiply
    5,097.52x = 7,034.34 × 3,001.24
  4. Step 4: Simplify right side
    5,097.52x = 21,111,742.58
  5. Step 5: Solve for x
    x = 21,111,742.58/5,097.52
  6. Step 6: Final answer
    x = 4,141.57

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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.