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Finding the Fourth Proportional to 3,674.36, 5,506.66 and 1,722.46

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Solution

The fourth proportional to 3,674.36, 5,506.66 and 1,722.46 is: 2,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.36 : 5,506.66 = 1,722.46 : x
  2. Step 2: Convert to fraction form
    3,674.36/5,506.66 = 1,722.46/x
  3. Step 3: Cross multiply
    3,674.36x = 5,506.66 × 1,722.46
  4. Step 4: Simplify right side
    3,674.36x = 9,485,001.58
  5. Step 5: Solve for x
    x = 9,485,001.58/3,674.36
  6. Step 6: Final answer
    x = 2,581.40

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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.