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Finding the Fourth Proportional to 5,670.09, 8,509 and 1,972.31

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Solution

The fourth proportional to 5,670.09, 8,509 and 1,972.31 is: 2,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.09 : 8,509 = 1,972.31 : x
  2. Step 2: Convert to fraction form
    5,670.09/8,509 = 1,972.31/x
  3. Step 3: Cross multiply
    5,670.09x = 8,509 × 1,972.31
  4. Step 4: Simplify right side
    5,670.09x = 16,782,385.79
  5. Step 5: Solve for x
    x = 16,782,385.79/5,670.09
  6. Step 6: Final answer
    x = 2,959.81

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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.