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Finding the Fourth Proportional to 5,097.12, 7,034.31 and 3,835.91

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Solution

The fourth proportional to 5,097.12, 7,034.31 and 3,835.91 is: 5,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.12 : 7,034.31 = 3,835.91 : x
  2. Step 2: Convert to fraction form
    5,097.12/7,034.31 = 3,835.91/x
  3. Step 3: Cross multiply
    5,097.12x = 7,034.31 × 3,835.91
  4. Step 4: Simplify right side
    5,097.12x = 26,982,980.07
  5. Step 5: Solve for x
    x = 26,982,980.07/5,097.12
  6. Step 6: Final answer
    x = 5,293.77

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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.