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Finding the Fourth Proportional to 4,643.58, 6,963.50 and 1,722.12

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Solution

The fourth proportional to 4,643.58, 6,963.50 and 1,722.12 is: 2,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.58 : 6,963.50 = 1,722.12 : x
  2. Step 2: Convert to fraction form
    4,643.58/6,963.50 = 1,722.12/x
  3. Step 3: Cross multiply
    4,643.58x = 6,963.50 × 1,722.12
  4. Step 4: Simplify right side
    4,643.58x = 11,991,974.01
  5. Step 5: Solve for x
    x = 11,991,974.01/4,643.58
  6. Step 6: Final answer
    x = 2,582.48

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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.