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Finding the Fourth Proportional to 3,768.16, 5,201.76 and 3,262

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Solution

The fourth proportional to 3,768.16, 5,201.76 and 3,262 is: 4,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.16 : 5,201.76 = 3,262 : x
  2. Step 2: Convert to fraction form
    3,768.16/5,201.76 = 3,262/x
  3. Step 3: Cross multiply
    3,768.16x = 5,201.76 × 3,262
  4. Step 4: Simplify right side
    3,768.16x = 16,968,141.12
  5. Step 5: Solve for x
    x = 16,968,141.12/3,768.16
  6. Step 6: Final answer
    x = 4,503.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.