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Finding the Fourth Proportional to 4,606.92, 6,913.08 and 1,685.43

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Solution

The fourth proportional to 4,606.92, 6,913.08 and 1,685.43 is: 2,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.92 : 6,913.08 = 1,685.43 : x
  2. Step 2: Convert to fraction form
    4,606.92/6,913.08 = 1,685.43/x
  3. Step 3: Cross multiply
    4,606.92x = 6,913.08 × 1,685.43
  4. Step 4: Simplify right side
    4,606.92x = 11,651,512.42
  5. Step 5: Solve for x
    x = 11,651,512.42/4,606.92
  6. Step 6: Final answer
    x = 2,529.13

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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.