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Finding the Fourth Proportional to 5,077.65, 7,620.12 and 2,158.02

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Solution

The fourth proportional to 5,077.65, 7,620.12 and 2,158.02 is: 3,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.65 : 7,620.12 = 2,158.02 : x
  2. Step 2: Convert to fraction form
    5,077.65/7,620.12 = 2,158.02/x
  3. Step 3: Cross multiply
    5,077.65x = 7,620.12 × 2,158.02
  4. Step 4: Simplify right side
    5,077.65x = 16,444,371.36
  5. Step 5: Solve for x
    x = 16,444,371.36/5,077.65
  6. Step 6: Final answer
    x = 3,238.58

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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.