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Finding the Fourth Proportional to 4,148.55, 5,728.05 and 2,821.77

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Solution

The fourth proportional to 4,148.55, 5,728.05 and 2,821.77 is: 3,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.55 : 5,728.05 = 2,821.77 : x
  2. Step 2: Convert to fraction form
    4,148.55/5,728.05 = 2,821.77/x
  3. Step 3: Cross multiply
    4,148.55x = 5,728.05 × 2,821.77
  4. Step 4: Simplify right side
    4,148.55x = 16,163,239.65
  5. Step 5: Solve for x
    x = 16,163,239.65/4,148.55
  6. Step 6: Final answer
    x = 3,896.12

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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.