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Finding the Fourth Proportional to 5,097.15, 7,646.54 and 2,324.79

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Solution

The fourth proportional to 5,097.15, 7,646.54 and 2,324.79 is: 3,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.15 : 7,646.54 = 2,324.79 : x
  2. Step 2: Convert to fraction form
    5,097.15/7,646.54 = 2,324.79/x
  3. Step 3: Cross multiply
    5,097.15x = 7,646.54 × 2,324.79
  4. Step 4: Simplify right side
    5,097.15x = 17,776,588.10
  5. Step 5: Solve for x
    x = 17,776,588.10/5,097.15
  6. Step 6: Final answer
    x = 3,487.55

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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.