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Finding the Fourth Proportional to 4,009.56, 6,009.88 and 2,156.04

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Solution

The fourth proportional to 4,009.56, 6,009.88 and 2,156.04 is: 3,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.56 : 6,009.88 = 2,156.04 : x
  2. Step 2: Convert to fraction form
    4,009.56/6,009.88 = 2,156.04/x
  3. Step 3: Cross multiply
    4,009.56x = 6,009.88 × 2,156.04
  4. Step 4: Simplify right side
    4,009.56x = 12,957,541.68
  5. Step 5: Solve for x
    x = 12,957,541.68/4,009.56
  6. Step 6: Final answer
    x = 3,231.66

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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.