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Finding the Fourth Proportional to 4,547.92, 6,823.94 and 2,206.64

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Solution

The fourth proportional to 4,547.92, 6,823.94 and 2,206.64 is: 3,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.92 : 6,823.94 = 2,206.64 : x
  2. Step 2: Convert to fraction form
    4,547.92/6,823.94 = 2,206.64/x
  3. Step 3: Cross multiply
    4,547.92x = 6,823.94 × 2,206.64
  4. Step 4: Simplify right side
    4,547.92x = 15,057,978.96
  5. Step 5: Solve for x
    x = 15,057,978.96/4,547.92
  6. Step 6: Final answer
    x = 3,310.96

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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.