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Finding the Fourth Proportional to 4,643.80, 6,965.66 and 2,046.74

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Solution

The fourth proportional to 4,643.80, 6,965.66 and 2,046.74 is: 3,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.80 : 6,965.66 = 2,046.74 : x
  2. Step 2: Convert to fraction form
    4,643.80/6,965.66 = 2,046.74/x
  3. Step 3: Cross multiply
    4,643.80x = 6,965.66 × 2,046.74
  4. Step 4: Simplify right side
    4,643.80x = 14,256,865.24
  5. Step 5: Solve for x
    x = 14,256,865.24/4,643.80
  6. Step 6: Final answer
    x = 3,070.09

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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.