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Finding the Fourth Proportional to 5,210.63, 7,190.02 and 4,151.09

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Solution

The fourth proportional to 5,210.63, 7,190.02 and 4,151.09 is: 5,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.63 : 7,190.02 = 4,151.09 : x
  2. Step 2: Convert to fraction form
    5,210.63/7,190.02 = 4,151.09/x
  3. Step 3: Cross multiply
    5,210.63x = 7,190.02 × 4,151.09
  4. Step 4: Simplify right side
    5,210.63x = 29,846,420.12
  5. Step 5: Solve for x
    x = 29,846,420.12/5,210.63
  6. Step 6: Final answer
    x = 5,727.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.