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Finding the Fourth Proportional to 2,784.42, 3,809.52 and 2,772.81

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Solution

The fourth proportional to 2,784.42, 3,809.52 and 2,772.81 is: 3,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.42 : 3,809.52 = 2,772.81 : x
  2. Step 2: Convert to fraction form
    2,784.42/3,809.52 = 2,772.81/x
  3. Step 3: Cross multiply
    2,784.42x = 3,809.52 × 2,772.81
  4. Step 4: Simplify right side
    2,784.42x = 10,563,075.15
  5. Step 5: Solve for x
    x = 10,563,075.15/2,784.42
  6. Step 6: Final answer
    x = 3,793.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.