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Finding the Fourth Proportional to 4,091.52, 5,646.24 and 2,228.56

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Solution

The fourth proportional to 4,091.52, 5,646.24 and 2,228.56 is: 3,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.52 : 5,646.24 = 2,228.56 : x
  2. Step 2: Convert to fraction form
    4,091.52/5,646.24 = 2,228.56/x
  3. Step 3: Cross multiply
    4,091.52x = 5,646.24 × 2,228.56
  4. Step 4: Simplify right side
    4,091.52x = 12,582,984.61
  5. Step 5: Solve for x
    x = 12,582,984.61/4,091.52
  6. Step 6: Final answer
    x = 3,075.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.