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Finding the Fourth Proportional to 4,643.67, 6,965.36 and 1,133.69

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Solution

The fourth proportional to 4,643.67, 6,965.36 and 1,133.69 is: 1,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.67 : 6,965.36 = 1,133.69 : x
  2. Step 2: Convert to fraction form
    4,643.67/6,965.36 = 1,133.69/x
  3. Step 3: Cross multiply
    4,643.67x = 6,965.36 × 1,133.69
  4. Step 4: Simplify right side
    4,643.67x = 7,896,591.57
  5. Step 5: Solve for x
    x = 7,896,591.57/4,643.67
  6. Step 6: Final answer
    x = 1,700.51

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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.