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Finding the Fourth Proportional to 4,643.62, 6,965.67 and 1,523.92

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Solution

The fourth proportional to 4,643.62, 6,965.67 and 1,523.92 is: 2,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.62 : 6,965.67 = 1,523.92 : x
  2. Step 2: Convert to fraction form
    4,643.62/6,965.67 = 1,523.92/x
  3. Step 3: Cross multiply
    4,643.62x = 6,965.67 × 1,523.92
  4. Step 4: Simplify right side
    4,643.62x = 10,615,123.83
  5. Step 5: Solve for x
    x = 10,615,123.83/4,643.62
  6. Step 6: Final answer
    x = 2,285.96

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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.