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Finding the Fourth Proportional to 5,446.16, 8,164.92 and 2,366

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Solution

The fourth proportional to 5,446.16, 8,164.92 and 2,366 is: 3,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.16 : 8,164.92 = 2,366 : x
  2. Step 2: Convert to fraction form
    5,446.16/8,164.92 = 2,366/x
  3. Step 3: Cross multiply
    5,446.16x = 8,164.92 × 2,366
  4. Step 4: Simplify right side
    5,446.16x = 19,318,200.72
  5. Step 5: Solve for x
    x = 19,318,200.72/5,446.16
  6. Step 6: Final answer
    x = 3,547.12

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Why These Related Problems?

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