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Finding the Fourth Proportional to 4,000.63, 5,997.31 and 1,402.15

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Solution

The fourth proportional to 4,000.63, 5,997.31 and 1,402.15 is: 2,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.63 : 5,997.31 = 1,402.15 : x
  2. Step 2: Convert to fraction form
    4,000.63/5,997.31 = 1,402.15/x
  3. Step 3: Cross multiply
    4,000.63x = 5,997.31 × 1,402.15
  4. Step 4: Simplify right side
    4,000.63x = 8,409,114.98
  5. Step 5: Solve for x
    x = 8,409,114.98/4,000.63
  6. Step 6: Final answer
    x = 2,101.95

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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.