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Finding the Fourth Proportional to 5,541.84, 8,313.21 and 1,646.25

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Solution

The fourth proportional to 5,541.84, 8,313.21 and 1,646.25 is: 2,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.84 : 8,313.21 = 1,646.25 : x
  2. Step 2: Convert to fraction form
    5,541.84/8,313.21 = 1,646.25/x
  3. Step 3: Cross multiply
    5,541.84x = 8,313.21 × 1,646.25
  4. Step 4: Simplify right side
    5,541.84x = 13,685,621.96
  5. Step 5: Solve for x
    x = 13,685,621.96/5,541.84
  6. Step 6: Final answer
    x = 2,469.51

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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.