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Finding the Fourth Proportional to 3,851.65, 5,779.15 and 2,004.14

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Solution

The fourth proportional to 3,851.65, 5,779.15 and 2,004.14 is: 3,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.65 : 5,779.15 = 2,004.14 : x
  2. Step 2: Convert to fraction form
    3,851.65/5,779.15 = 2,004.14/x
  3. Step 3: Cross multiply
    3,851.65x = 5,779.15 × 2,004.14
  4. Step 4: Simplify right side
    3,851.65x = 11,582,235.12
  5. Step 5: Solve for x
    x = 11,582,235.12/3,851.65
  6. Step 6: Final answer
    x = 3,007.08

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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.