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Finding the Fourth Proportional to 4,007.16, 6,013.02 and 2,158.23

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Solution

The fourth proportional to 4,007.16, 6,013.02 and 2,158.23 is: 3,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.16 : 6,013.02 = 2,158.23 : x
  2. Step 2: Convert to fraction form
    4,007.16/6,013.02 = 2,158.23/x
  3. Step 3: Cross multiply
    4,007.16x = 6,013.02 × 2,158.23
  4. Step 4: Simplify right side
    4,007.16x = 12,977,480.15
  5. Step 5: Solve for x
    x = 12,977,480.15/4,007.16
  6. Step 6: Final answer
    x = 3,238.57

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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.