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Finding the Fourth Proportional to 3,900.54, 5,852.42 and 2,051.20

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Solution

The fourth proportional to 3,900.54, 5,852.42 and 2,051.20 is: 3,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.54 : 5,852.42 = 2,051.20 : x
  2. Step 2: Convert to fraction form
    3,900.54/5,852.42 = 2,051.20/x
  3. Step 3: Cross multiply
    3,900.54x = 5,852.42 × 2,051.20
  4. Step 4: Simplify right side
    3,900.54x = 12,004,483.90
  5. Step 5: Solve for x
    x = 12,004,483.90/3,900.54
  6. Step 6: Final answer
    x = 3,077.65

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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.