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Finding the Fourth Proportional to 5,106.71, 7,661.18 and 1,596.98

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Solution

The fourth proportional to 5,106.71, 7,661.18 and 1,596.98 is: 2,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.71 : 7,661.18 = 1,596.98 : x
  2. Step 2: Convert to fraction form
    5,106.71/7,661.18 = 1,596.98/x
  3. Step 3: Cross multiply
    5,106.71x = 7,661.18 × 1,596.98
  4. Step 4: Simplify right side
    5,106.71x = 12,234,704.95
  5. Step 5: Solve for x
    x = 12,234,704.95/5,106.71
  6. Step 6: Final answer
    x = 2,395.81

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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.