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Finding the Fourth Proportional to 4,127.50, 5,696.05 and 2,359.27

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Solution

The fourth proportional to 4,127.50, 5,696.05 and 2,359.27 is: 3,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.50 : 5,696.05 = 2,359.27 : x
  2. Step 2: Convert to fraction form
    4,127.50/5,696.05 = 2,359.27/x
  3. Step 3: Cross multiply
    4,127.50x = 5,696.05 × 2,359.27
  4. Step 4: Simplify right side
    4,127.50x = 13,438,499.75
  5. Step 5: Solve for x
    x = 13,438,499.75/4,127.50
  6. Step 6: Final answer
    x = 3,255.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.