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Finding the Fourth Proportional to 4,482.44, 6,724.44 and 1,709.36

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Solution

The fourth proportional to 4,482.44, 6,724.44 and 1,709.36 is: 2,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.44 : 6,724.44 = 1,709.36 : x
  2. Step 2: Convert to fraction form
    4,482.44/6,724.44 = 1,709.36/x
  3. Step 3: Cross multiply
    4,482.44x = 6,724.44 × 1,709.36
  4. Step 4: Simplify right side
    4,482.44x = 11,494,488.76
  5. Step 5: Solve for x
    x = 11,494,488.76/4,482.44
  6. Step 6: Final answer
    x = 2,564.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.