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Finding the Fourth Proportional to 5,412.76, 8,114.26 and 2,807.80

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Solution

The fourth proportional to 5,412.76, 8,114.26 and 2,807.80 is: 4,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.76 : 8,114.26 = 2,807.80 : x
  2. Step 2: Convert to fraction form
    5,412.76/8,114.26 = 2,807.80/x
  3. Step 3: Cross multiply
    5,412.76x = 8,114.26 × 2,807.80
  4. Step 4: Simplify right side
    5,412.76x = 22,783,219.23
  5. Step 5: Solve for x
    x = 22,783,219.23/5,412.76
  6. Step 6: Final answer
    x = 4,209.17

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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.