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Finding the Fourth Proportional to 4,188.12, 6,278.94 and 1,878

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Solution

The fourth proportional to 4,188.12, 6,278.94 and 1,878 is: 2,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.12 : 6,278.94 = 1,878 : x
  2. Step 2: Convert to fraction form
    4,188.12/6,278.94 = 1,878/x
  3. Step 3: Cross multiply
    4,188.12x = 6,278.94 × 1,878
  4. Step 4: Simplify right side
    4,188.12x = 11,791,849.32
  5. Step 5: Solve for x
    x = 11,791,849.32/4,188.12
  6. Step 6: Final answer
    x = 2,815.55

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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.