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Finding the Fourth Proportional to 5,685.98, 8,530.41 and 1,737.14

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Solution

The fourth proportional to 5,685.98, 8,530.41 and 1,737.14 is: 2,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.98 : 8,530.41 = 1,737.14 : x
  2. Step 2: Convert to fraction form
    5,685.98/8,530.41 = 1,737.14/x
  3. Step 3: Cross multiply
    5,685.98x = 8,530.41 × 1,737.14
  4. Step 4: Simplify right side
    5,685.98x = 14,818,516.43
  5. Step 5: Solve for x
    x = 14,818,516.43/5,685.98
  6. Step 6: Final answer
    x = 2,606.15

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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.