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Finding the Fourth Proportional to 6,384.36, 8,810.52 and 3,730.80

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Solution

The fourth proportional to 6,384.36, 8,810.52 and 3,730.80 is: 5,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.36 : 8,810.52 = 3,730.80 : x
  2. Step 2: Convert to fraction form
    6,384.36/8,810.52 = 3,730.80/x
  3. Step 3: Cross multiply
    6,384.36x = 8,810.52 × 3,730.80
  4. Step 4: Simplify right side
    6,384.36x = 32,870,288.02
  5. Step 5: Solve for x
    x = 32,870,288.02/6,384.36
  6. Step 6: Final answer
    x = 5,148.56

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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.