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Finding the Fourth Proportional to 5,533.84, 8,301.62 and 1,638.64

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Solution

The fourth proportional to 5,533.84, 8,301.62 and 1,638.64 is: 2,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.84 : 8,301.62 = 1,638.64 : x
  2. Step 2: Convert to fraction form
    5,533.84/8,301.62 = 1,638.64/x
  3. Step 3: Cross multiply
    5,533.84x = 8,301.62 × 1,638.64
  4. Step 4: Simplify right side
    5,533.84x = 13,603,366.60
  5. Step 5: Solve for x
    x = 13,603,366.60/5,533.84
  6. Step 6: Final answer
    x = 2,458.21

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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.