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Finding the Fourth Proportional to 5,477.16, 8,216.30 and 2,189.80

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Solution

The fourth proportional to 5,477.16, 8,216.30 and 2,189.80 is: 3,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.16 : 8,216.30 = 2,189.80 : x
  2. Step 2: Convert to fraction form
    5,477.16/8,216.30 = 2,189.80/x
  3. Step 3: Cross multiply
    5,477.16x = 8,216.30 × 2,189.80
  4. Step 4: Simplify right side
    5,477.16x = 17,992,053.74
  5. Step 5: Solve for x
    x = 17,992,053.74/5,477.16
  6. Step 6: Final answer
    x = 3,284.92

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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.