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Finding the Fourth Proportional to 3,476.56, 4,797.84 and 1,904.80

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Solution

The fourth proportional to 3,476.56, 4,797.84 and 1,904.80 is: 2,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.56 : 4,797.84 = 1,904.80 : x
  2. Step 2: Convert to fraction form
    3,476.56/4,797.84 = 1,904.80/x
  3. Step 3: Cross multiply
    3,476.56x = 4,797.84 × 1,904.80
  4. Step 4: Simplify right side
    3,476.56x = 9,138,925.63
  5. Step 5: Solve for x
    x = 9,138,925.63/3,476.56
  6. Step 6: Final answer
    x = 2,628.73

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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.