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Finding the Fourth Proportional to 5,898.24, 8,848 and 2,201.60

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Solution

The fourth proportional to 5,898.24, 8,848 and 2,201.60 is: 3,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.24 : 8,848 = 2,201.60 : x
  2. Step 2: Convert to fraction form
    5,898.24/8,848 = 2,201.60/x
  3. Step 3: Cross multiply
    5,898.24x = 8,848 × 2,201.60
  4. Step 4: Simplify right side
    5,898.24x = 19,479,756.80
  5. Step 5: Solve for x
    x = 19,479,756.80/5,898.24
  6. Step 6: Final answer
    x = 3,302.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.