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Finding the Fourth Proportional to 5,899.12, 8,136.60 and 3,658.60

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Solution

The fourth proportional to 5,899.12, 8,136.60 and 3,658.60 is: 5,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.12 : 8,136.60 = 3,658.60 : x
  2. Step 2: Convert to fraction form
    5,899.12/8,136.60 = 3,658.60/x
  3. Step 3: Cross multiply
    5,899.12x = 8,136.60 × 3,658.60
  4. Step 4: Simplify right side
    5,899.12x = 29,768,564.76
  5. Step 5: Solve for x
    x = 29,768,564.76/5,899.12
  6. Step 6: Final answer
    x = 5,046.27

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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.