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Finding the Fourth Proportional to 3,378.80, 5,070.09 and 1,188.83

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Solution

The fourth proportional to 3,378.80, 5,070.09 and 1,188.83 is: 1,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.80 : 5,070.09 = 1,188.83 : x
  2. Step 2: Convert to fraction form
    3,378.80/5,070.09 = 1,188.83/x
  3. Step 3: Cross multiply
    3,378.80x = 5,070.09 × 1,188.83
  4. Step 4: Simplify right side
    3,378.80x = 6,027,449.74
  5. Step 5: Solve for x
    x = 6,027,449.74/3,378.80
  6. Step 6: Final answer
    x = 1,783.91

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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.