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Finding the Fourth Proportional to 3,865.96, 5,798.94 and 2,497

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Solution

The fourth proportional to 3,865.96, 5,798.94 and 2,497 is: 3,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.96 : 5,798.94 = 2,497 : x
  2. Step 2: Convert to fraction form
    3,865.96/5,798.94 = 2,497/x
  3. Step 3: Cross multiply
    3,865.96x = 5,798.94 × 2,497
  4. Step 4: Simplify right side
    3,865.96x = 14,479,953.18
  5. Step 5: Solve for x
    x = 14,479,953.18/3,865.96
  6. Step 6: Final answer
    x = 3,745.50

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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.