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Finding the Fourth Proportional to 4,489.77, 6,734.82 and 2,295.93

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Solution

The fourth proportional to 4,489.77, 6,734.82 and 2,295.93 is: 3,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.77 : 6,734.82 = 2,295.93 : x
  2. Step 2: Convert to fraction form
    4,489.77/6,734.82 = 2,295.93/x
  3. Step 3: Cross multiply
    4,489.77x = 6,734.82 × 2,295.93
  4. Step 4: Simplify right side
    4,489.77x = 15,462,675.28
  5. Step 5: Solve for x
    x = 15,462,675.28/4,489.77
  6. Step 6: Final answer
    x = 3,443.98

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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.