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Finding the Fourth Proportional to 4,643.22, 6,964.74 and 1,133.25

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Solution

The fourth proportional to 4,643.22, 6,964.74 and 1,133.25 is: 1,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.22 : 6,964.74 = 1,133.25 : x
  2. Step 2: Convert to fraction form
    4,643.22/6,964.74 = 1,133.25/x
  3. Step 3: Cross multiply
    4,643.22x = 6,964.74 × 1,133.25
  4. Step 4: Simplify right side
    4,643.22x = 7,892,791.61
  5. Step 5: Solve for x
    x = 7,892,791.61/4,643.22
  6. Step 6: Final answer
    x = 1,699.85

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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.