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Finding the Fourth Proportional to 3,844.02, 5,768.10 and 3,775.35

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Solution

The fourth proportional to 3,844.02, 5,768.10 and 3,775.35 is: 5,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.02 : 5,768.10 = 3,775.35 : x
  2. Step 2: Convert to fraction form
    3,844.02/5,768.10 = 3,775.35/x
  3. Step 3: Cross multiply
    3,844.02x = 5,768.10 × 3,775.35
  4. Step 4: Simplify right side
    3,844.02x = 21,776,596.34
  5. Step 5: Solve for x
    x = 21,776,596.34/3,844.02
  6. Step 6: Final answer
    x = 5,665.06

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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.