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Finding the Fourth Proportional to 4,077.85, 6,114.80 and 1,995.42

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Solution

The fourth proportional to 4,077.85, 6,114.80 and 1,995.42 is: 2,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.85 : 6,114.80 = 1,995.42 : x
  2. Step 2: Convert to fraction form
    4,077.85/6,114.80 = 1,995.42/x
  3. Step 3: Cross multiply
    4,077.85x = 6,114.80 × 1,995.42
  4. Step 4: Simplify right side
    4,077.85x = 12,201,594.22
  5. Step 5: Solve for x
    x = 12,201,594.22/4,077.85
  6. Step 6: Final answer
    x = 2,992.16

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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.