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Finding the Fourth Proportional to 3,533.64, 5,302.26 and 1,343.76

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Solution

The fourth proportional to 3,533.64, 5,302.26 and 1,343.76 is: 2,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.64 : 5,302.26 = 1,343.76 : x
  2. Step 2: Convert to fraction form
    3,533.64/5,302.26 = 1,343.76/x
  3. Step 3: Cross multiply
    3,533.64x = 5,302.26 × 1,343.76
  4. Step 4: Simplify right side
    3,533.64x = 7,124,964.90
  5. Step 5: Solve for x
    x = 7,124,964.90/3,533.64
  6. Step 6: Final answer
    x = 2,016.32

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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.