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Finding the Fourth Proportional to 5,097.74, 7,646.69 and 2,324.30

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Solution

The fourth proportional to 5,097.74, 7,646.69 and 2,324.30 is: 3,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.74 : 7,646.69 = 2,324.30 : x
  2. Step 2: Convert to fraction form
    5,097.74/7,646.69 = 2,324.30/x
  3. Step 3: Cross multiply
    5,097.74x = 7,646.69 × 2,324.30
  4. Step 4: Simplify right side
    5,097.74x = 17,773,201.57
  5. Step 5: Solve for x
    x = 17,773,201.57/5,097.74
  6. Step 6: Final answer
    x = 3,486.49

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Why These Related Problems?

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