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Finding the Fourth Proportional to 6,087.34, 8,401.10 and 3,696.74

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Solution

The fourth proportional to 6,087.34, 8,401.10 and 3,696.74 is: 5,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.34 : 8,401.10 = 3,696.74 : x
  2. Step 2: Convert to fraction form
    6,087.34/8,401.10 = 3,696.74/x
  3. Step 3: Cross multiply
    6,087.34x = 8,401.10 × 3,696.74
  4. Step 4: Simplify right side
    6,087.34x = 31,056,682.41
  5. Step 5: Solve for x
    x = 31,056,682.41/6,087.34
  6. Step 6: Final answer
    x = 5,101.85

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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.