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Finding the Fourth Proportional to 5,406.86, 8,106.99 and 2,116.10

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Solution

The fourth proportional to 5,406.86, 8,106.99 and 2,116.10 is: 3,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.86 : 8,106.99 = 2,116.10 : x
  2. Step 2: Convert to fraction form
    5,406.86/8,106.99 = 2,116.10/x
  3. Step 3: Cross multiply
    5,406.86x = 8,106.99 × 2,116.10
  4. Step 4: Simplify right side
    5,406.86x = 17,155,161.00
  5. Step 5: Solve for x
    x = 17,155,161.00/5,406.86
  6. Step 6: Final answer
    x = 3,172.85

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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.