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Finding the Fourth Proportional to 5,615.18, 7,749.12 and 3,097.40

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Solution

The fourth proportional to 5,615.18, 7,749.12 and 3,097.40 is: 4,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.18 : 7,749.12 = 3,097.40 : x
  2. Step 2: Convert to fraction form
    5,615.18/7,749.12 = 3,097.40/x
  3. Step 3: Cross multiply
    5,615.18x = 7,749.12 × 3,097.40
  4. Step 4: Simplify right side
    5,615.18x = 24,002,124.29
  5. Step 5: Solve for x
    x = 24,002,124.29/5,615.18
  6. Step 6: Final answer
    x = 4,274.51

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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.