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Finding the Fourth Proportional to 3,284.55, 4,532.64 and 1,792.47

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Solution

The fourth proportional to 3,284.55, 4,532.64 and 1,792.47 is: 2,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.55 : 4,532.64 = 1,792.47 : x
  2. Step 2: Convert to fraction form
    3,284.55/4,532.64 = 1,792.47/x
  3. Step 3: Cross multiply
    3,284.55x = 4,532.64 × 1,792.47
  4. Step 4: Simplify right side
    3,284.55x = 8,124,621.22
  5. Step 5: Solve for x
    x = 8,124,621.22/3,284.55
  6. Step 6: Final answer
    x = 2,473.59

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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.