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Finding the Fourth Proportional to 4,702.53, 7,048.31 and 3,458.41

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Solution

The fourth proportional to 4,702.53, 7,048.31 and 3,458.41 is: 5,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.53 : 7,048.31 = 3,458.41 : x
  2. Step 2: Convert to fraction form
    4,702.53/7,048.31 = 3,458.41/x
  3. Step 3: Cross multiply
    4,702.53x = 7,048.31 × 3,458.41
  4. Step 4: Simplify right side
    4,702.53x = 24,375,910.87
  5. Step 5: Solve for x
    x = 24,375,910.87/4,702.53
  6. Step 6: Final answer
    x = 5,183.57

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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.