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Finding the Fourth Proportional to 4,702.54, 6,519.19 and 4,452.86

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Solution

The fourth proportional to 4,702.54, 6,519.19 and 4,452.86 is: 6,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.54 : 6,519.19 = 4,452.86 : x
  2. Step 2: Convert to fraction form
    4,702.54/6,519.19 = 4,452.86/x
  3. Step 3: Cross multiply
    4,702.54x = 6,519.19 × 4,452.86
  4. Step 4: Simplify right side
    4,702.54x = 29,029,040.38
  5. Step 5: Solve for x
    x = 29,029,040.38/4,702.54
  6. Step 6: Final answer
    x = 6,173.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.