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Finding the Fourth Proportional to 6,596.71, 9,889.70 and 3,085.02

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Solution

The fourth proportional to 6,596.71, 9,889.70 and 3,085.02 is: 4,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.71 : 9,889.70 = 3,085.02 : x
  2. Step 2: Convert to fraction form
    6,596.71/9,889.70 = 3,085.02/x
  3. Step 3: Cross multiply
    6,596.71x = 9,889.70 × 3,085.02
  4. Step 4: Simplify right side
    6,596.71x = 30,509,906.87
  5. Step 5: Solve for x
    x = 30,509,906.87/6,596.71
  6. Step 6: Final answer
    x = 4,625.02

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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.