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Finding the Fourth Proportional to 5,263.65, 7,898.22 and 2,145.96

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Solution

The fourth proportional to 5,263.65, 7,898.22 and 2,145.96 is: 3,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.65 : 7,898.22 = 2,145.96 : x
  2. Step 2: Convert to fraction form
    5,263.65/7,898.22 = 2,145.96/x
  3. Step 3: Cross multiply
    5,263.65x = 7,898.22 × 2,145.96
  4. Step 4: Simplify right side
    5,263.65x = 16,949,264.19
  5. Step 5: Solve for x
    x = 16,949,264.19/5,263.65
  6. Step 6: Final answer
    x = 3,220.06

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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.