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Finding the Fourth Proportional to 5,638.49, 8,455.06 and 1,688.22

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Solution

The fourth proportional to 5,638.49, 8,455.06 and 1,688.22 is: 2,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.49 : 8,455.06 = 1,688.22 : x
  2. Step 2: Convert to fraction form
    5,638.49/8,455.06 = 1,688.22/x
  3. Step 3: Cross multiply
    5,638.49x = 8,455.06 × 1,688.22
  4. Step 4: Simplify right side
    5,638.49x = 14,273,992.95
  5. Step 5: Solve for x
    x = 14,273,992.95/5,638.49
  6. Step 6: Final answer
    x = 2,531.53

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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.