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Finding the Fourth Proportional to 5,097.96, 7,640.46 and 2,326.14

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Solution

The fourth proportional to 5,097.96, 7,640.46 and 2,326.14 is: 3,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.96 : 7,640.46 = 2,326.14 : x
  2. Step 2: Convert to fraction form
    5,097.96/7,640.46 = 2,326.14/x
  3. Step 3: Cross multiply
    5,097.96x = 7,640.46 × 2,326.14
  4. Step 4: Simplify right side
    5,097.96x = 17,772,779.62
  5. Step 5: Solve for x
    x = 17,772,779.62/5,097.96
  6. Step 6: Final answer
    x = 3,486.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.