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Finding the Fourth Proportional to 5,097.66, 7,645.77 and 2,499.90

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Solution

The fourth proportional to 5,097.66, 7,645.77 and 2,499.90 is: 3,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.66 : 7,645.77 = 2,499.90 : x
  2. Step 2: Convert to fraction form
    5,097.66/7,645.77 = 2,499.90/x
  3. Step 3: Cross multiply
    5,097.66x = 7,645.77 × 2,499.90
  4. Step 4: Simplify right side
    5,097.66x = 19,113,660.42
  5. Step 5: Solve for x
    x = 19,113,660.42/5,097.66
  6. Step 6: Final answer
    x = 3,749.50

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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.