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Finding the Fourth Proportional to 3,882.12, 5,820.13 and 2,646.46

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Solution

The fourth proportional to 3,882.12, 5,820.13 and 2,646.46 is: 3,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.12 : 5,820.13 = 2,646.46 : x
  2. Step 2: Convert to fraction form
    3,882.12/5,820.13 = 2,646.46/x
  3. Step 3: Cross multiply
    3,882.12x = 5,820.13 × 2,646.46
  4. Step 4: Simplify right side
    3,882.12x = 15,402,741.24
  5. Step 5: Solve for x
    x = 15,402,741.24/3,882.12
  6. Step 6: Final answer
    x = 3,967.61

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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.