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Finding the Fourth Proportional to 6,175.92, 8,522.64 and 3,785.07

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Solution

The fourth proportional to 6,175.92, 8,522.64 and 3,785.07 is: 5,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.92 : 8,522.64 = 3,785.07 : x
  2. Step 2: Convert to fraction form
    6,175.92/8,522.64 = 3,785.07/x
  3. Step 3: Cross multiply
    6,175.92x = 8,522.64 × 3,785.07
  4. Step 4: Simplify right side
    6,175.92x = 32,258,788.98
  5. Step 5: Solve for x
    x = 32,258,788.98/6,175.92
  6. Step 6: Final answer
    x = 5,223.32

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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.