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Finding the Fourth Proportional to 5,801.55, 8,698.87 and 2,102.53

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Solution

The fourth proportional to 5,801.55, 8,698.87 and 2,102.53 is: 3,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.55 : 8,698.87 = 2,102.53 : x
  2. Step 2: Convert to fraction form
    5,801.55/8,698.87 = 2,102.53/x
  3. Step 3: Cross multiply
    5,801.55x = 8,698.87 × 2,102.53
  4. Step 4: Simplify right side
    5,801.55x = 18,289,635.14
  5. Step 5: Solve for x
    x = 18,289,635.14/5,801.55
  6. Step 6: Final answer
    x = 3,152.54

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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.