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Finding the Fourth Proportional to 3,284.53, 4,532.64 and 1,792.45

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Solution

The fourth proportional to 3,284.53, 4,532.64 and 1,792.45 is: 2,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.53 : 4,532.64 = 1,792.45 : x
  2. Step 2: Convert to fraction form
    3,284.53/4,532.64 = 1,792.45/x
  3. Step 3: Cross multiply
    3,284.53x = 4,532.64 × 1,792.45
  4. Step 4: Simplify right side
    3,284.53x = 8,124,498.94
  5. Step 5: Solve for x
    x = 8,124,498.94/3,284.53
  6. Step 6: Final answer
    x = 2,473.57

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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.