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Finding the Fourth Proportional to 5,829.84, 8,041.68 and 3,736.80

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Solution

The fourth proportional to 5,829.84, 8,041.68 and 3,736.80 is: 5,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.84 : 8,041.68 = 3,736.80 : x
  2. Step 2: Convert to fraction form
    5,829.84/8,041.68 = 3,736.80/x
  3. Step 3: Cross multiply
    5,829.84x = 8,041.68 × 3,736.80
  4. Step 4: Simplify right side
    5,829.84x = 30,050,149.82
  5. Step 5: Solve for x
    x = 30,050,149.82/5,829.84
  6. Step 6: Final answer
    x = 5,154.54

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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.