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Finding the Fourth Proportional to 5,841.92, 8,762.88 and 3,105.28

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Solution

The fourth proportional to 5,841.92, 8,762.88 and 3,105.28 is: 4,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.92 : 8,762.88 = 3,105.28 : x
  2. Step 2: Convert to fraction form
    5,841.92/8,762.88 = 3,105.28/x
  3. Step 3: Cross multiply
    5,841.92x = 8,762.88 × 3,105.28
  4. Step 4: Simplify right side
    5,841.92x = 27,211,196.01
  5. Step 5: Solve for x
    x = 27,211,196.01/5,841.92
  6. Step 6: Final answer
    x = 4,657.92

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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.