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Finding the Fourth Proportional to 3,476.53, 4,797.73 and 1,904.66

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Solution

The fourth proportional to 3,476.53, 4,797.73 and 1,904.66 is: 2,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.53 : 4,797.73 = 1,904.66 : x
  2. Step 2: Convert to fraction form
    3,476.53/4,797.73 = 1,904.66/x
  3. Step 3: Cross multiply
    3,476.53x = 4,797.73 × 1,904.66
  4. Step 4: Simplify right side
    3,476.53x = 9,138,044.42
  5. Step 5: Solve for x
    x = 9,138,044.42/3,476.53
  6. Step 6: Final answer
    x = 2,628.50

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