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Finding the Fourth Proportional to 3,612.66, 5,422.35 and 1,422.90

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Solution

The fourth proportional to 3,612.66, 5,422.35 and 1,422.90 is: 2,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.66 : 5,422.35 = 1,422.90 : x
  2. Step 2: Convert to fraction form
    3,612.66/5,422.35 = 1,422.90/x
  3. Step 3: Cross multiply
    3,612.66x = 5,422.35 × 1,422.90
  4. Step 4: Simplify right side
    3,612.66x = 7,715,461.82
  5. Step 5: Solve for x
    x = 7,715,461.82/3,612.66
  6. Step 6: Final answer
    x = 2,135.67

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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.