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Finding the Fourth Proportional to 4,495.74, 6,744.59 and 1,722.42

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Solution

The fourth proportional to 4,495.74, 6,744.59 and 1,722.42 is: 2,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.74 : 6,744.59 = 1,722.42 : x
  2. Step 2: Convert to fraction form
    4,495.74/6,744.59 = 1,722.42/x
  3. Step 3: Cross multiply
    4,495.74x = 6,744.59 × 1,722.42
  4. Step 4: Simplify right side
    4,495.74x = 11,617,016.71
  5. Step 5: Solve for x
    x = 11,617,016.71/4,495.74
  6. Step 6: Final answer
    x = 2,584.01

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