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Finding the Fourth Proportional to 3,283.47, 4,531.28 and 2,007.54

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Solution

The fourth proportional to 3,283.47, 4,531.28 and 2,007.54 is: 2,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.47 : 4,531.28 = 2,007.54 : x
  2. Step 2: Convert to fraction form
    3,283.47/4,531.28 = 2,007.54/x
  3. Step 3: Cross multiply
    3,283.47x = 4,531.28 × 2,007.54
  4. Step 4: Simplify right side
    3,283.47x = 9,096,715.81
  5. Step 5: Solve for x
    x = 9,096,715.81/3,283.47
  6. Step 6: Final answer
    x = 2,770.46

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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.