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Finding the Fourth Proportional to 4,624.92, 6,941.84 and 4,375.17

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Solution

The fourth proportional to 4,624.92, 6,941.84 and 4,375.17 is: 6,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.92 : 6,941.84 = 4,375.17 : x
  2. Step 2: Convert to fraction form
    4,624.92/6,941.84 = 4,375.17/x
  3. Step 3: Cross multiply
    4,624.92x = 6,941.84 × 4,375.17
  4. Step 4: Simplify right side
    4,624.92x = 30,371,708.24
  5. Step 5: Solve for x
    x = 30,371,708.24/4,624.92
  6. Step 6: Final answer
    x = 6,566.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.