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Finding the Fourth Proportional to 3,465.32, 5,200.02 and 1,274.22

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Solution

The fourth proportional to 3,465.32, 5,200.02 and 1,274.22 is: 1,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.32 : 5,200.02 = 1,274.22 : x
  2. Step 2: Convert to fraction form
    3,465.32/5,200.02 = 1,274.22/x
  3. Step 3: Cross multiply
    3,465.32x = 5,200.02 × 1,274.22
  4. Step 4: Simplify right side
    3,465.32x = 6,625,969.48
  5. Step 5: Solve for x
    x = 6,625,969.48/3,465.32
  6. Step 6: Final answer
    x = 1,912.08

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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.