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Finding the Fourth Proportional to 3,143.52, 4,713.03 and 1,476.71

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Solution

The fourth proportional to 3,143.52, 4,713.03 and 1,476.71 is: 2,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.52 : 4,713.03 = 1,476.71 : x
  2. Step 2: Convert to fraction form
    3,143.52/4,713.03 = 1,476.71/x
  3. Step 3: Cross multiply
    3,143.52x = 4,713.03 × 1,476.71
  4. Step 4: Simplify right side
    3,143.52x = 6,959,772.64
  5. Step 5: Solve for x
    x = 6,959,772.64/3,143.52
  6. Step 6: Final answer
    x = 2,214.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.