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Finding the Fourth Proportional to 4,967.84, 6,853.04 and 2,977.44

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Solution

The fourth proportional to 4,967.84, 6,853.04 and 2,977.44 is: 4,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.84 : 6,853.04 = 2,977.44 : x
  2. Step 2: Convert to fraction form
    4,967.84/6,853.04 = 2,977.44/x
  3. Step 3: Cross multiply
    4,967.84x = 6,853.04 × 2,977.44
  4. Step 4: Simplify right side
    4,967.84x = 20,404,515.42
  5. Step 5: Solve for x
    x = 20,404,515.42/4,967.84
  6. Step 6: Final answer
    x = 4,107.32

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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.