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Finding the Fourth Proportional to 5,685.95, 8,530.22 and 1,737.57

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Solution

The fourth proportional to 5,685.95, 8,530.22 and 1,737.57 is: 2,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.95 : 8,530.22 = 1,737.57 : x
  2. Step 2: Convert to fraction form
    5,685.95/8,530.22 = 1,737.57/x
  3. Step 3: Cross multiply
    5,685.95x = 8,530.22 × 1,737.57
  4. Step 4: Simplify right side
    5,685.95x = 14,821,854.37
  5. Step 5: Solve for x
    x = 14,821,854.37/5,685.95
  6. Step 6: Final answer
    x = 2,606.75

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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.