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Finding the Fourth Proportional to 5,187.62, 7,741.52 and 4,633.98

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Solution

The fourth proportional to 5,187.62, 7,741.52 and 4,633.98 is: 6,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.62 : 7,741.52 = 4,633.98 : x
  2. Step 2: Convert to fraction form
    5,187.62/7,741.52 = 4,633.98/x
  3. Step 3: Cross multiply
    5,187.62x = 7,741.52 × 4,633.98
  4. Step 4: Simplify right side
    5,187.62x = 35,874,025.68
  5. Step 5: Solve for x
    x = 35,874,025.68/5,187.62
  6. Step 6: Final answer
    x = 6,915.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.