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Finding the Fourth Proportional to 5,239.66, 7,852.78 and 2,571.86

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Solution

The fourth proportional to 5,239.66, 7,852.78 and 2,571.86 is: 3,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.66 : 7,852.78 = 2,571.86 : x
  2. Step 2: Convert to fraction form
    5,239.66/7,852.78 = 2,571.86/x
  3. Step 3: Cross multiply
    5,239.66x = 7,852.78 × 2,571.86
  4. Step 4: Simplify right side
    5,239.66x = 20,196,262.53
  5. Step 5: Solve for x
    x = 20,196,262.53/5,239.66
  6. Step 6: Final answer
    x = 3,854.50

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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.