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Finding the Fourth Proportional to 3,719.36, 5,133.76 and 2,228.24

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Solution

The fourth proportional to 3,719.36, 5,133.76 and 2,228.24 is: 3,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.36 : 5,133.76 = 2,228.24 : x
  2. Step 2: Convert to fraction form
    3,719.36/5,133.76 = 2,228.24/x
  3. Step 3: Cross multiply
    3,719.36x = 5,133.76 × 2,228.24
  4. Step 4: Simplify right side
    3,719.36x = 11,439,249.38
  5. Step 5: Solve for x
    x = 11,439,249.38/3,719.36
  6. Step 6: Final answer
    x = 3,075.60

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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.