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Finding the Fourth Proportional to 4,643.87, 6,965.57 and 1,523.47

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Solution

The fourth proportional to 4,643.87, 6,965.57 and 1,523.47 is: 2,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.87 : 6,965.57 = 1,523.47 : x
  2. Step 2: Convert to fraction form
    4,643.87/6,965.57 = 1,523.47/x
  3. Step 3: Cross multiply
    4,643.87x = 6,965.57 × 1,523.47
  4. Step 4: Simplify right side
    4,643.87x = 10,611,815.03
  5. Step 5: Solve for x
    x = 10,611,815.03/4,643.87
  6. Step 6: Final answer
    x = 2,285.12

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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.