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Finding the Fourth Proportional to 5,102.10, 7,653.27 and 1,815.21

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Solution

The fourth proportional to 5,102.10, 7,653.27 and 1,815.21 is: 2,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.10 : 7,653.27 = 1,815.21 : x
  2. Step 2: Convert to fraction form
    5,102.10/7,653.27 = 1,815.21/x
  3. Step 3: Cross multiply
    5,102.10x = 7,653.27 × 1,815.21
  4. Step 4: Simplify right side
    5,102.10x = 13,892,292.24
  5. Step 5: Solve for x
    x = 13,892,292.24/5,102.10
  6. Step 6: Final answer
    x = 2,722.86

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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.