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Finding the Fourth Proportional to 4,571.92, 6,848.30 and 3,790.06

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Solution

The fourth proportional to 4,571.92, 6,848.30 and 3,790.06 is: 5,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.92 : 6,848.30 = 3,790.06 : x
  2. Step 2: Convert to fraction form
    4,571.92/6,848.30 = 3,790.06/x
  3. Step 3: Cross multiply
    4,571.92x = 6,848.30 × 3,790.06
  4. Step 4: Simplify right side
    4,571.92x = 25,955,467.90
  5. Step 5: Solve for x
    x = 25,955,467.90/4,571.92
  6. Step 6: Final answer
    x = 5,677.15

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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.