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Finding the Fourth Proportional to 3,773.51, 5,207.34 and 2,201.50

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Solution

The fourth proportional to 3,773.51, 5,207.34 and 2,201.50 is: 3,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.51 : 5,207.34 = 2,201.50 : x
  2. Step 2: Convert to fraction form
    3,773.51/5,207.34 = 2,201.50/x
  3. Step 3: Cross multiply
    3,773.51x = 5,207.34 × 2,201.50
  4. Step 4: Simplify right side
    3,773.51x = 11,463,959.01
  5. Step 5: Solve for x
    x = 11,463,959.01/3,773.51
  6. Step 6: Final answer
    x = 3,038.01

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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.