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Finding the Fourth Proportional to 4,164.12, 6,244.44 and 1,854

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Solution

The fourth proportional to 4,164.12, 6,244.44 and 1,854 is: 2,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.12 : 6,244.44 = 1,854 : x
  2. Step 2: Convert to fraction form
    4,164.12/6,244.44 = 1,854/x
  3. Step 3: Cross multiply
    4,164.12x = 6,244.44 × 1,854
  4. Step 4: Simplify right side
    4,164.12x = 11,577,191.76
  5. Step 5: Solve for x
    x = 11,577,191.76/4,164.12
  6. Step 6: Final answer
    x = 2,780.23

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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.