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Finding the Fourth Proportional to 6,097.38, 8,408.55 and 3,707.76

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Solution

The fourth proportional to 6,097.38, 8,408.55 and 3,707.76 is: 5,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.38 : 8,408.55 = 3,707.76 : x
  2. Step 2: Convert to fraction form
    6,097.38/8,408.55 = 3,707.76/x
  3. Step 3: Cross multiply
    6,097.38x = 8,408.55 × 3,707.76
  4. Step 4: Simplify right side
    6,097.38x = 31,176,885.35
  5. Step 5: Solve for x
    x = 31,176,885.35/6,097.38
  6. Step 6: Final answer
    x = 5,113.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.