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Finding the Fourth Proportional to 4,661.50, 6,383.88 and 4,599.99

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Solution

The fourth proportional to 4,661.50, 6,383.88 and 4,599.99 is: 6,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.50 : 6,383.88 = 4,599.99 : x
  2. Step 2: Convert to fraction form
    4,661.50/6,383.88 = 4,599.99/x
  3. Step 3: Cross multiply
    4,661.50x = 6,383.88 × 4,599.99
  4. Step 4: Simplify right side
    4,661.50x = 29,365,764.75
  5. Step 5: Solve for x
    x = 29,365,764.75/4,661.50
  6. Step 6: Final answer
    x = 6,299.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.