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Finding the Fourth Proportional to 5,734.46, 8,603.03 and 1,785.53

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Solution

The fourth proportional to 5,734.46, 8,603.03 and 1,785.53 is: 2,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.46 : 8,603.03 = 1,785.53 : x
  2. Step 2: Convert to fraction form
    5,734.46/8,603.03 = 1,785.53/x
  3. Step 3: Cross multiply
    5,734.46x = 8,603.03 × 1,785.53
  4. Step 4: Simplify right side
    5,734.46x = 15,360,929.60
  5. Step 5: Solve for x
    x = 15,360,929.60/5,734.46
  6. Step 6: Final answer
    x = 2,678.71

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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.