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Finding the Fourth Proportional to 4,000.95, 6,004.16 and 2,152.63

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Solution

The fourth proportional to 4,000.95, 6,004.16 and 2,152.63 is: 3,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.95 : 6,004.16 = 2,152.63 : x
  2. Step 2: Convert to fraction form
    4,000.95/6,004.16 = 2,152.63/x
  3. Step 3: Cross multiply
    4,000.95x = 6,004.16 × 2,152.63
  4. Step 4: Simplify right side
    4,000.95x = 12,924,734.94
  5. Step 5: Solve for x
    x = 12,924,734.94/4,000.95
  6. Step 6: Final answer
    x = 3,230.42

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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.