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Finding the Fourth Proportional to 4,643.97, 6,965.85 and 1,133.94

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Solution

The fourth proportional to 4,643.97, 6,965.85 and 1,133.94 is: 1,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.97 : 6,965.85 = 1,133.94 : x
  2. Step 2: Convert to fraction form
    4,643.97/6,965.85 = 1,133.94/x
  3. Step 3: Cross multiply
    4,643.97x = 6,965.85 × 1,133.94
  4. Step 4: Simplify right side
    4,643.97x = 7,898,855.95
  5. Step 5: Solve for x
    x = 7,898,855.95/4,643.97
  6. Step 6: Final answer
    x = 1,700.88

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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.