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Finding the Fourth Proportional to 3,642.48, 5,026.48 and 2,228.52

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Solution

The fourth proportional to 3,642.48, 5,026.48 and 2,228.52 is: 3,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.48 : 5,026.48 = 2,228.52 : x
  2. Step 2: Convert to fraction form
    3,642.48/5,026.48 = 2,228.52/x
  3. Step 3: Cross multiply
    3,642.48x = 5,026.48 × 2,228.52
  4. Step 4: Simplify right side
    3,642.48x = 11,201,611.21
  5. Step 5: Solve for x
    x = 11,201,611.21/3,642.48
  6. Step 6: Final answer
    x = 3,075.27

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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.