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Finding the Fourth Proportional to 3,581.64, 5,340.69 and 3,343.32

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Solution

The fourth proportional to 3,581.64, 5,340.69 and 3,343.32 is: 4,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.64 : 5,340.69 = 3,343.32 : x
  2. Step 2: Convert to fraction form
    3,581.64/5,340.69 = 3,343.32/x
  3. Step 3: Cross multiply
    3,581.64x = 5,340.69 × 3,343.32
  4. Step 4: Simplify right side
    3,581.64x = 17,855,635.69
  5. Step 5: Solve for x
    x = 17,855,635.69/3,581.64
  6. Step 6: Final answer
    x = 4,985.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.