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Finding the Fourth Proportional to 5,173.27, 7,762.43 and 2,210.90

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Solution

The fourth proportional to 5,173.27, 7,762.43 and 2,210.90 is: 3,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.27 : 7,762.43 = 2,210.90 : x
  2. Step 2: Convert to fraction form
    5,173.27/7,762.43 = 2,210.90/x
  3. Step 3: Cross multiply
    5,173.27x = 7,762.43 × 2,210.90
  4. Step 4: Simplify right side
    5,173.27x = 17,161,923.20
  5. Step 5: Solve for x
    x = 17,161,923.20/5,173.27
  6. Step 6: Final answer
    x = 3,317.42

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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.