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Finding the Fourth Proportional to 3,512.16, 5,267.02 and 1,954.53

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Solution

The fourth proportional to 3,512.16, 5,267.02 and 1,954.53 is: 2,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.16 : 5,267.02 = 1,954.53 : x
  2. Step 2: Convert to fraction form
    3,512.16/5,267.02 = 1,954.53/x
  3. Step 3: Cross multiply
    3,512.16x = 5,267.02 × 1,954.53
  4. Step 4: Simplify right side
    3,512.16x = 10,294,548.60
  5. Step 5: Solve for x
    x = 10,294,548.60/3,512.16
  6. Step 6: Final answer
    x = 2,931.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.