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Finding the Fourth Proportional to 3,643.02, 5,459.85 and 1,562.49

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Solution

The fourth proportional to 3,643.02, 5,459.85 and 1,562.49 is: 2,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.02 : 5,459.85 = 1,562.49 : x
  2. Step 2: Convert to fraction form
    3,643.02/5,459.85 = 1,562.49/x
  3. Step 3: Cross multiply
    3,643.02x = 5,459.85 × 1,562.49
  4. Step 4: Simplify right side
    3,643.02x = 8,530,961.03
  5. Step 5: Solve for x
    x = 8,530,961.03/3,643.02
  6. Step 6: Final answer
    x = 2,341.73

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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.