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Finding the Fourth Proportional to 4,283.52, 6,422.50 and 2,818.22

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Solution

The fourth proportional to 4,283.52, 6,422.50 and 2,818.22 is: 4,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.52 : 6,422.50 = 2,818.22 : x
  2. Step 2: Convert to fraction form
    4,283.52/6,422.50 = 2,818.22/x
  3. Step 3: Cross multiply
    4,283.52x = 6,422.50 × 2,818.22
  4. Step 4: Simplify right side
    4,283.52x = 18,100,017.95
  5. Step 5: Solve for x
    x = 18,100,017.95/4,283.52
  6. Step 6: Final answer
    x = 4,225.50

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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.