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Finding the Fourth Proportional to 4,643.64, 6,965.46 and 2,046.60

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Solution

The fourth proportional to 4,643.64, 6,965.46 and 2,046.60 is: 3,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.64 : 6,965.46 = 2,046.60 : x
  2. Step 2: Convert to fraction form
    4,643.64/6,965.46 = 2,046.60/x
  3. Step 3: Cross multiply
    4,643.64x = 6,965.46 × 2,046.60
  4. Step 4: Simplify right side
    4,643.64x = 14,255,510.44
  5. Step 5: Solve for x
    x = 14,255,510.44/4,643.64
  6. Step 6: Final answer
    x = 3,069.90

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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.