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Finding the Fourth Proportional to 3,188.32, 4,801.21 and 2,782.30

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Solution

The fourth proportional to 3,188.32, 4,801.21 and 2,782.30 is: 4,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.32 : 4,801.21 = 2,782.30 : x
  2. Step 2: Convert to fraction form
    3,188.32/4,801.21 = 2,782.30/x
  3. Step 3: Cross multiply
    3,188.32x = 4,801.21 × 2,782.30
  4. Step 4: Simplify right side
    3,188.32x = 13,358,406.58
  5. Step 5: Solve for x
    x = 13,358,406.58/3,188.32
  6. Step 6: Final answer
    x = 4,189.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.