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Finding the Fourth Proportional to 4,653.82, 6,419.43 and 2,764.12

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Solution

The fourth proportional to 4,653.82, 6,419.43 and 2,764.12 is: 3,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.82 : 6,419.43 = 2,764.12 : x
  2. Step 2: Convert to fraction form
    4,653.82/6,419.43 = 2,764.12/x
  3. Step 3: Cross multiply
    4,653.82x = 6,419.43 × 2,764.12
  4. Step 4: Simplify right side
    4,653.82x = 17,744,058.80
  5. Step 5: Solve for x
    x = 17,744,058.80/4,653.82
  6. Step 6: Final answer
    x = 3,812.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.