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Finding the Fourth Proportional to 5,343.04, 8,012.12 and 1,643.98

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Solution

The fourth proportional to 5,343.04, 8,012.12 and 1,643.98 is: 2,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.04 : 8,012.12 = 1,643.98 : x
  2. Step 2: Convert to fraction form
    5,343.04/8,012.12 = 1,643.98/x
  3. Step 3: Cross multiply
    5,343.04x = 8,012.12 × 1,643.98
  4. Step 4: Simplify right side
    5,343.04x = 13,171,765.04
  5. Step 5: Solve for x
    x = 13,171,765.04/5,343.04
  6. Step 6: Final answer
    x = 2,465.22

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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.