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Finding the Fourth Proportional to 3,284.36, 4,532.16 and 1,792.19

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Solution

The fourth proportional to 3,284.36, 4,532.16 and 1,792.19 is: 2,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.36 : 4,532.16 = 1,792.19 : x
  2. Step 2: Convert to fraction form
    3,284.36/4,532.16 = 1,792.19/x
  3. Step 3: Cross multiply
    3,284.36x = 4,532.16 × 1,792.19
  4. Step 4: Simplify right side
    3,284.36x = 8,122,491.83
  5. Step 5: Solve for x
    x = 8,122,491.83/3,284.36
  6. Step 6: Final answer
    x = 2,473.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.