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Finding the Fourth Proportional to 5,409.69, 8,116.65 and 2,122.22

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Solution

The fourth proportional to 5,409.69, 8,116.65 and 2,122.22 is: 3,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.69 : 8,116.65 = 2,122.22 : x
  2. Step 2: Convert to fraction form
    5,409.69/8,116.65 = 2,122.22/x
  3. Step 3: Cross multiply
    5,409.69x = 8,116.65 × 2,122.22
  4. Step 4: Simplify right side
    5,409.69x = 17,225,276.38
  5. Step 5: Solve for x
    x = 17,225,276.38/5,409.69
  6. Step 6: Final answer
    x = 3,184.15

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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.