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Finding the Fourth Proportional to 5,207.09, 7,810.70 and 1,311.66

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Solution

The fourth proportional to 5,207.09, 7,810.70 and 1,311.66 is: 1,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.09 : 7,810.70 = 1,311.66 : x
  2. Step 2: Convert to fraction form
    5,207.09/7,810.70 = 1,311.66/x
  3. Step 3: Cross multiply
    5,207.09x = 7,810.70 × 1,311.66
  4. Step 4: Simplify right side
    5,207.09x = 10,244,976.20
  5. Step 5: Solve for x
    x = 10,244,976.20/5,207.09
  6. Step 6: Final answer
    x = 1,967.51

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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.