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Finding the Fourth Proportional to 3,284.07, 4,532.12 and 1,792.05

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Solution

The fourth proportional to 3,284.07, 4,532.12 and 1,792.05 is: 2,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.07 : 4,532.12 = 1,792.05 : x
  2. Step 2: Convert to fraction form
    3,284.07/4,532.12 = 1,792.05/x
  3. Step 3: Cross multiply
    3,284.07x = 4,532.12 × 1,792.05
  4. Step 4: Simplify right side
    3,284.07x = 8,121,776.69
  5. Step 5: Solve for x
    x = 8,121,776.69/3,284.07
  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.