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Finding the Fourth Proportional to 5,734.62, 8,603.27 and 1,785.69

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Solution

The fourth proportional to 5,734.62, 8,603.27 and 1,785.69 is: 2,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.62 : 8,603.27 = 1,785.69 : x
  2. Step 2: Convert to fraction form
    5,734.62/8,603.27 = 1,785.69/x
  3. Step 3: Cross multiply
    5,734.62x = 8,603.27 × 1,785.69
  4. Step 4: Simplify right side
    5,734.62x = 15,362,773.21
  5. Step 5: Solve for x
    x = 15,362,773.21/5,734.62
  6. Step 6: Final answer
    x = 2,678.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.