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Finding the Fourth Proportional to 3,284.18, 4,532 and 1,792.08

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Solution

The fourth proportional to 3,284.18, 4,532 and 1,792.08 is: 2,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.18 : 4,532 = 1,792.08 : x
  2. Step 2: Convert to fraction form
    3,284.18/4,532 = 1,792.08/x
  3. Step 3: Cross multiply
    3,284.18x = 4,532 × 1,792.08
  4. Step 4: Simplify right side
    3,284.18x = 8,121,706.56
  5. Step 5: Solve for x
    x = 8,121,706.56/3,284.18
  6. Step 6: Final answer
    x = 2,472.98

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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.