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Finding the Fourth Proportional to 4,295.54, 6,437.23 and 1,827.87

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Solution

The fourth proportional to 4,295.54, 6,437.23 and 1,827.87 is: 2,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.54 : 6,437.23 = 1,827.87 : x
  2. Step 2: Convert to fraction form
    4,295.54/6,437.23 = 1,827.87/x
  3. Step 3: Cross multiply
    4,295.54x = 6,437.23 × 1,827.87
  4. Step 4: Simplify right side
    4,295.54x = 11,766,410.46
  5. Step 5: Solve for x
    x = 11,766,410.46/4,295.54
  6. Step 6: Final answer
    x = 2,739.22

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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.