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Finding the Fourth Proportional to 5,638.36, 8,454.87 and 1,688.09

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Solution

The fourth proportional to 5,638.36, 8,454.87 and 1,688.09 is: 2,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.36 : 8,454.87 = 1,688.09 : x
  2. Step 2: Convert to fraction form
    5,638.36/8,454.87 = 1,688.09/x
  3. Step 3: Cross multiply
    5,638.36x = 8,454.87 × 1,688.09
  4. Step 4: Simplify right side
    5,638.36x = 14,272,602.64
  5. Step 5: Solve for x
    x = 14,272,602.64/5,638.36
  6. Step 6: Final answer
    x = 2,531.34

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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.