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Finding the Fourth Proportional to 3,886.16, 5,830.20 and 3,200.72

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Solution

The fourth proportional to 3,886.16, 5,830.20 and 3,200.72 is: 4,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.16 : 5,830.20 = 3,200.72 : x
  2. Step 2: Convert to fraction form
    3,886.16/5,830.20 = 3,200.72/x
  3. Step 3: Cross multiply
    3,886.16x = 5,830.20 × 3,200.72
  4. Step 4: Simplify right side
    3,886.16x = 18,660,837.74
  5. Step 5: Solve for x
    x = 18,660,837.74/3,886.16
  6. Step 6: Final answer
    x = 4,801.87

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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.