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Finding the Fourth Proportional to 3,214.32, 4,820.22 and 1,133.88

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Solution

The fourth proportional to 3,214.32, 4,820.22 and 1,133.88 is: 1,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.32 : 4,820.22 = 1,133.88 : x
  2. Step 2: Convert to fraction form
    3,214.32/4,820.22 = 1,133.88/x
  3. Step 3: Cross multiply
    3,214.32x = 4,820.22 × 1,133.88
  4. Step 4: Simplify right side
    3,214.32x = 5,465,551.05
  5. Step 5: Solve for x
    x = 5,465,551.05/3,214.32
  6. Step 6: Final answer
    x = 1,700.38

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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.