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Finding the Fourth Proportional to 3,854.77, 5,778.05 and 2,004.02

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Solution

The fourth proportional to 3,854.77, 5,778.05 and 2,004.02 is: 3,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.77 : 5,778.05 = 2,004.02 : x
  2. Step 2: Convert to fraction form
    3,854.77/5,778.05 = 2,004.02/x
  3. Step 3: Cross multiply
    3,854.77x = 5,778.05 × 2,004.02
  4. Step 4: Simplify right side
    3,854.77x = 11,579,327.76
  5. Step 5: Solve for x
    x = 11,579,327.76/3,854.77
  6. Step 6: Final answer
    x = 3,003.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.