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Finding the Fourth Proportional to 5,210.52, 7,188.24 and 3,114.66

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Solution

The fourth proportional to 5,210.52, 7,188.24 and 3,114.66 is: 4,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.52 : 7,188.24 = 3,114.66 : x
  2. Step 2: Convert to fraction form
    5,210.52/7,188.24 = 3,114.66/x
  3. Step 3: Cross multiply
    5,210.52x = 7,188.24 × 3,114.66
  4. Step 4: Simplify right side
    5,210.52x = 22,388,923.60
  5. Step 5: Solve for x
    x = 22,388,923.60/5,210.52
  6. Step 6: Final answer
    x = 4,296.87

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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.