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Finding the Fourth Proportional to 4,614.49, 6,921.48 and 2,017.42

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Solution

The fourth proportional to 4,614.49, 6,921.48 and 2,017.42 is: 3,026.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.49 : 6,921.48 = 2,017.42 : x
  2. Step 2: Convert to fraction form
    4,614.49/6,921.48 = 2,017.42/x
  3. Step 3: Cross multiply
    4,614.49x = 6,921.48 × 2,017.42
  4. Step 4: Simplify right side
    4,614.49x = 13,963,532.18
  5. Step 5: Solve for x
    x = 13,963,532.18/4,614.49
  6. Step 6: Final answer
    x = 3,026.02

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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.