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Finding the Fourth Proportional to 5,335.84, 8,003.20 and 1,638.12

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Solution

The fourth proportional to 5,335.84, 8,003.20 and 1,638.12 is: 2,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.84 : 8,003.20 = 1,638.12 : x
  2. Step 2: Convert to fraction form
    5,335.84/8,003.20 = 1,638.12/x
  3. Step 3: Cross multiply
    5,335.84x = 8,003.20 × 1,638.12
  4. Step 4: Simplify right side
    5,335.84x = 13,110,201.98
  5. Step 5: Solve for x
    x = 13,110,201.98/5,335.84
  6. Step 6: Final answer
    x = 2,457.01

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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.