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Finding the Fourth Proportional to 3,817.17, 5,721.65 and 2,496.77

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Solution

The fourth proportional to 3,817.17, 5,721.65 and 2,496.77 is: 3,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.17 : 5,721.65 = 2,496.77 : x
  2. Step 2: Convert to fraction form
    3,817.17/5,721.65 = 2,496.77/x
  3. Step 3: Cross multiply
    3,817.17x = 5,721.65 × 2,496.77
  4. Step 4: Simplify right side
    3,817.17x = 14,285,602.98
  5. Step 5: Solve for x
    x = 14,285,602.98/3,817.17
  6. Step 6: Final answer
    x = 3,742.46

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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.