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Finding the Fourth Proportional to 4,093.86, 5,646.80 and 2,816.00

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Solution

The fourth proportional to 4,093.86, 5,646.80 and 2,816.00 is: 3,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.86 : 5,646.80 = 2,816.00 : x
  2. Step 2: Convert to fraction form
    4,093.86/5,646.80 = 2,816.00/x
  3. Step 3: Cross multiply
    4,093.86x = 5,646.80 × 2,816.00
  4. Step 4: Simplify right side
    4,093.86x = 15,901,388.78
  5. Step 5: Solve for x
    x = 15,901,388.78/4,093.86
  6. Step 6: Final answer
    x = 3,884.20

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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.