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Finding the Fourth Proportional to 3,852.06, 5,768.28 and 3,232.50

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Solution

The fourth proportional to 3,852.06, 5,768.28 and 3,232.50 is: 4,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.06 : 5,768.28 = 3,232.50 : x
  2. Step 2: Convert to fraction form
    3,852.06/5,768.28 = 3,232.50/x
  3. Step 3: Cross multiply
    3,852.06x = 5,768.28 × 3,232.50
  4. Step 4: Simplify right side
    3,852.06x = 18,645,965.10
  5. Step 5: Solve for x
    x = 18,645,965.10/3,852.06
  6. Step 6: Final answer
    x = 4,840.52

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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.