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Finding the Fourth Proportional to 4,293.28, 6,437.28 and 1,826.69

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Solution

The fourth proportional to 4,293.28, 6,437.28 and 1,826.69 is: 2,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.28 : 6,437.28 = 1,826.69 : x
  2. Step 2: Convert to fraction form
    4,293.28/6,437.28 = 1,826.69/x
  3. Step 3: Cross multiply
    4,293.28x = 6,437.28 × 1,826.69
  4. Step 4: Simplify right side
    4,293.28x = 11,758,915.00
  5. Step 5: Solve for x
    x = 11,758,915.00/4,293.28
  6. Step 6: Final answer
    x = 2,738.91

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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.