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Finding the Fourth Proportional to 3,900.93, 5,853.12 and 2,051.63

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Solution

The fourth proportional to 3,900.93, 5,853.12 and 2,051.63 is: 3,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.93 : 5,853.12 = 2,051.63 : x
  2. Step 2: Convert to fraction form
    3,900.93/5,853.12 = 2,051.63/x
  3. Step 3: Cross multiply
    3,900.93x = 5,853.12 × 2,051.63
  4. Step 4: Simplify right side
    3,900.93x = 12,008,407.32
  5. Step 5: Solve for x
    x = 12,008,407.32/3,900.93
  6. Step 6: Final answer
    x = 3,078.34

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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.