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Finding the Fourth Proportional to 5,533.63, 8,300.43 and 1,638.34

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Solution

The fourth proportional to 5,533.63, 8,300.43 and 1,638.34 is: 2,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.63 : 8,300.43 = 1,638.34 : x
  2. Step 2: Convert to fraction form
    5,533.63/8,300.43 = 1,638.34/x
  3. Step 3: Cross multiply
    5,533.63x = 8,300.43 × 1,638.34
  4. Step 4: Simplify right side
    5,533.63x = 13,598,926.49
  5. Step 5: Solve for x
    x = 13,598,926.49/5,533.63
  6. Step 6: Final answer
    x = 2,457.51

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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.