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Finding the Fourth Proportional to 4,531.28, 6,797.52 and 1,411.49

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Solution

The fourth proportional to 4,531.28, 6,797.52 and 1,411.49 is: 2,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.28 : 6,797.52 = 1,411.49 : x
  2. Step 2: Convert to fraction form
    4,531.28/6,797.52 = 1,411.49/x
  3. Step 3: Cross multiply
    4,531.28x = 6,797.52 × 1,411.49
  4. Step 4: Simplify right side
    4,531.28x = 9,594,648.50
  5. Step 5: Solve for x
    x = 9,594,648.50/4,531.28
  6. Step 6: Final answer
    x = 2,117.43

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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.