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Finding the Fourth Proportional to 4,077.75, 6,116.67 and 999.75

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Solution

The fourth proportional to 4,077.75, 6,116.67 and 999.75 is: 1,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.75 : 6,116.67 = 999.75 : x
  2. Step 2: Convert to fraction form
    4,077.75/6,116.67 = 999.75/x
  3. Step 3: Cross multiply
    4,077.75x = 6,116.67 × 999.75
  4. Step 4: Simplify right side
    4,077.75x = 6,115,140.83
  5. Step 5: Solve for x
    x = 6,115,140.83/4,077.75
  6. Step 6: Final answer
    x = 1,499.64

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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.