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Finding the Fourth Proportional to 5,335.89, 8,004.15 and 1,638.15

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Solution

The fourth proportional to 5,335.89, 8,004.15 and 1,638.15 is: 2,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.89 : 8,004.15 = 1,638.15 : x
  2. Step 2: Convert to fraction form
    5,335.89/8,004.15 = 1,638.15/x
  3. Step 3: Cross multiply
    5,335.89x = 8,004.15 × 1,638.15
  4. Step 4: Simplify right side
    5,335.89x = 13,111,998.32
  5. Step 5: Solve for x
    x = 13,111,998.32/5,335.89
  6. Step 6: Final answer
    x = 2,457.32

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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.