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Finding the Fourth Proportional to 5,210.82, 7,816.20 and 1,262.04

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Solution

The fourth proportional to 5,210.82, 7,816.20 and 1,262.04 is: 1,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.82 : 7,816.20 = 1,262.04 : x
  2. Step 2: Convert to fraction form
    5,210.82/7,816.20 = 1,262.04/x
  3. Step 3: Cross multiply
    5,210.82x = 7,816.20 × 1,262.04
  4. Step 4: Simplify right side
    5,210.82x = 9,864,357.05
  5. Step 5: Solve for x
    x = 9,864,357.05/5,210.82
  6. Step 6: Final answer
    x = 1,893.05

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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.