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Finding the Fourth Proportional to 4,295.18, 6,442.50 and 2,562.50

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Solution

The fourth proportional to 4,295.18, 6,442.50 and 2,562.50 is: 3,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.18 : 6,442.50 = 2,562.50 : x
  2. Step 2: Convert to fraction form
    4,295.18/6,442.50 = 2,562.50/x
  3. Step 3: Cross multiply
    4,295.18x = 6,442.50 × 2,562.50
  4. Step 4: Simplify right side
    4,295.18x = 16,508,906.25
  5. Step 5: Solve for x
    x = 16,508,906.25/4,295.18
  6. Step 6: Final answer
    x = 3,843.59

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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.