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Finding the Fourth Proportional to 4,967.28, 6,853.82 and 2,977.38

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Solution

The fourth proportional to 4,967.28, 6,853.82 and 2,977.38 is: 4,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.28 : 6,853.82 = 2,977.38 : x
  2. Step 2: Convert to fraction form
    4,967.28/6,853.82 = 2,977.38/x
  3. Step 3: Cross multiply
    4,967.28x = 6,853.82 × 2,977.38
  4. Step 4: Simplify right side
    4,967.28x = 20,406,411.70
  5. Step 5: Solve for x
    x = 20,406,411.70/4,967.28
  6. Step 6: Final answer
    x = 4,108.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.