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Finding the Fourth Proportional to 3,886.81, 5,820.93 and 2,129.18

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Solution

The fourth proportional to 3,886.81, 5,820.93 and 2,129.18 is: 3,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.81 : 5,820.93 = 2,129.18 : x
  2. Step 2: Convert to fraction form
    3,886.81/5,820.93 = 2,129.18/x
  3. Step 3: Cross multiply
    3,886.81x = 5,820.93 × 2,129.18
  4. Step 4: Simplify right side
    3,886.81x = 12,393,778.63
  5. Step 5: Solve for x
    x = 12,393,778.63/3,886.81
  6. Step 6: Final answer
    x = 3,188.68

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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.