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Finding the Fourth Proportional to 3,848.69, 5,773.17 and 2,003.51

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Solution

The fourth proportional to 3,848.69, 5,773.17 and 2,003.51 is: 3,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.69 : 5,773.17 = 2,003.51 : x
  2. Step 2: Convert to fraction form
    3,848.69/5,773.17 = 2,003.51/x
  3. Step 3: Cross multiply
    3,848.69x = 5,773.17 × 2,003.51
  4. Step 4: Simplify right side
    3,848.69x = 11,566,603.83
  5. Step 5: Solve for x
    x = 11,566,603.83/3,848.69
  6. Step 6: Final answer
    x = 3,005.34

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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.