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Finding the Fourth Proportional to 4,564.68, 6,846.06 and 1,967.04

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Solution

The fourth proportional to 4,564.68, 6,846.06 and 1,967.04 is: 2,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.68 : 6,846.06 = 1,967.04 : x
  2. Step 2: Convert to fraction form
    4,564.68/6,846.06 = 1,967.04/x
  3. Step 3: Cross multiply
    4,564.68x = 6,846.06 × 1,967.04
  4. Step 4: Simplify right side
    4,564.68x = 13,466,473.86
  5. Step 5: Solve for x
    x = 13,466,473.86/4,564.68
  6. Step 6: Final answer
    x = 2,950.15

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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.