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Finding the Fourth Proportional to 6,176.68, 8,521.71 and 3,522.17

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Solution

The fourth proportional to 6,176.68, 8,521.71 and 3,522.17 is: 4,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.68 : 8,521.71 = 3,522.17 : x
  2. Step 2: Convert to fraction form
    6,176.68/8,521.71 = 3,522.17/x
  3. Step 3: Cross multiply
    6,176.68x = 8,521.71 × 3,522.17
  4. Step 4: Simplify right side
    6,176.68x = 30,014,919.41
  5. Step 5: Solve for x
    x = 30,014,919.41/6,176.68
  6. Step 6: Final answer
    x = 4,859.40

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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.