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Finding the Fourth Proportional to 3,476.97, 4,795.42 and 3,056.43

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Solution

The fourth proportional to 3,476.97, 4,795.42 and 3,056.43 is: 4,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.97 : 4,795.42 = 3,056.43 : x
  2. Step 2: Convert to fraction form
    3,476.97/4,795.42 = 3,056.43/x
  3. Step 3: Cross multiply
    3,476.97x = 4,795.42 × 3,056.43
  4. Step 4: Simplify right side
    3,476.97x = 14,656,849.76
  5. Step 5: Solve for x
    x = 14,656,849.76/3,476.97
  6. Step 6: Final answer
    x = 4,215.41

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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.