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Finding the Fourth Proportional to 5,533.66, 8,302.11 and 1,638.17

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Solution

The fourth proportional to 5,533.66, 8,302.11 and 1,638.17 is: 2,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.66 : 8,302.11 = 1,638.17 : x
  2. Step 2: Convert to fraction form
    5,533.66/8,302.11 = 1,638.17/x
  3. Step 3: Cross multiply
    5,533.66x = 8,302.11 × 1,638.17
  4. Step 4: Simplify right side
    5,533.66x = 13,600,267.54
  5. Step 5: Solve for x
    x = 13,600,267.54/5,533.66
  6. Step 6: Final answer
    x = 2,457.73

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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.