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Finding the Fourth Proportional to 6,571.71, 9,852.33 and 3,795.24

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Solution

The fourth proportional to 6,571.71, 9,852.33 and 3,795.24 is: 5,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.71 : 9,852.33 = 3,795.24 : x
  2. Step 2: Convert to fraction form
    6,571.71/9,852.33 = 3,795.24/x
  3. Step 3: Cross multiply
    6,571.71x = 9,852.33 × 3,795.24
  4. Step 4: Simplify right side
    6,571.71x = 37,391,956.91
  5. Step 5: Solve for x
    x = 37,391,956.91/6,571.71
  6. Step 6: Final answer
    x = 5,689.84

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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.