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Finding the Fourth Proportional to 5,200.40, 7,798.60 and 4,091.99

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Solution

The fourth proportional to 5,200.40, 7,798.60 and 4,091.99 is: 6,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.40 : 7,798.60 = 4,091.99 : x
  2. Step 2: Convert to fraction form
    5,200.40/7,798.60 = 4,091.99/x
  3. Step 3: Cross multiply
    5,200.40x = 7,798.60 × 4,091.99
  4. Step 4: Simplify right side
    5,200.40x = 31,911,802.12
  5. Step 5: Solve for x
    x = 31,911,802.12/5,200.40
  6. Step 6: Final answer
    x = 6,136.42

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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.