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Finding the Fourth Proportional to 6,357.54, 9,535.23 and 2,893.98

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Solution

The fourth proportional to 6,357.54, 9,535.23 and 2,893.98 is: 4,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.54 : 9,535.23 = 2,893.98 : x
  2. Step 2: Convert to fraction form
    6,357.54/9,535.23 = 2,893.98/x
  3. Step 3: Cross multiply
    6,357.54x = 9,535.23 × 2,893.98
  4. Step 4: Simplify right side
    6,357.54x = 27,594,764.92
  5. Step 5: Solve for x
    x = 27,594,764.92/6,357.54
  6. Step 6: Final answer
    x = 4,340.48

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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.