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Finding the Fourth Proportional to 5,643.92, 8,459.32 and 3,041.40

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Solution

The fourth proportional to 5,643.92, 8,459.32 and 3,041.40 is: 4,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.92 : 8,459.32 = 3,041.40 : x
  2. Step 2: Convert to fraction form
    5,643.92/8,459.32 = 3,041.40/x
  3. Step 3: Cross multiply
    5,643.92x = 8,459.32 × 3,041.40
  4. Step 4: Simplify right side
    5,643.92x = 25,728,175.85
  5. Step 5: Solve for x
    x = 25,728,175.85/5,643.92
  6. Step 6: Final answer
    x = 4,558.56

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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.