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Finding the Fourth Proportional to 3,284.54, 4,532.63 and 1,792.47

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Solution

The fourth proportional to 3,284.54, 4,532.63 and 1,792.47 is: 2,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.54 : 4,532.63 = 1,792.47 : x
  2. Step 2: Convert to fraction form
    3,284.54/4,532.63 = 1,792.47/x
  3. Step 3: Cross multiply
    3,284.54x = 4,532.63 × 1,792.47
  4. Step 4: Simplify right side
    3,284.54x = 8,124,594.33
  5. Step 5: Solve for x
    x = 8,124,594.33/3,284.54
  6. Step 6: Final answer
    x = 2,473.58

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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.