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Finding the Fourth Proportional to 5,615.41, 7,749.17 and 3,097.76

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Solution

The fourth proportional to 5,615.41, 7,749.17 and 3,097.76 is: 4,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.41 : 7,749.17 = 3,097.76 : x
  2. Step 2: Convert to fraction form
    5,615.41/7,749.17 = 3,097.76/x
  3. Step 3: Cross multiply
    5,615.41x = 7,749.17 × 3,097.76
  4. Step 4: Simplify right side
    5,615.41x = 24,005,069.83
  5. Step 5: Solve for x
    x = 24,005,069.83/5,615.41
  6. Step 6: Final answer
    x = 4,274.86

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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.