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Finding the Fourth Proportional to 3,476.62, 4,797.70 and 1,904.70

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Solution

The fourth proportional to 3,476.62, 4,797.70 and 1,904.70 is: 2,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.62 : 4,797.70 = 1,904.70 : x
  2. Step 2: Convert to fraction form
    3,476.62/4,797.70 = 1,904.70/x
  3. Step 3: Cross multiply
    3,476.62x = 4,797.70 × 1,904.70
  4. Step 4: Simplify right side
    3,476.62x = 9,138,179.19
  5. Step 5: Solve for x
    x = 9,138,179.19/3,476.62
  6. Step 6: Final answer
    x = 2,628.47

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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.