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Finding the Fourth Proportional to 5,829.98, 8,053.53 and 5,200.29

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Solution

The fourth proportional to 5,829.98, 8,053.53 and 5,200.29 is: 7,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.98 : 8,053.53 = 5,200.29 : x
  2. Step 2: Convert to fraction form
    5,829.98/8,053.53 = 5,200.29/x
  3. Step 3: Cross multiply
    5,829.98x = 8,053.53 × 5,200.29
  4. Step 4: Simplify right side
    5,829.98x = 41,880,691.52
  5. Step 5: Solve for x
    x = 41,880,691.52/5,829.98
  6. Step 6: Final answer
    x = 7,183.68

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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.