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Finding the Fourth Proportional to 5,436.99, 8,153.19 and 1,688.31

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Solution

The fourth proportional to 5,436.99, 8,153.19 and 1,688.31 is: 2,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.99 : 8,153.19 = 1,688.31 : x
  2. Step 2: Convert to fraction form
    5,436.99/8,153.19 = 1,688.31/x
  3. Step 3: Cross multiply
    5,436.99x = 8,153.19 × 1,688.31
  4. Step 4: Simplify right side
    5,436.99x = 13,765,112.21
  5. Step 5: Solve for x
    x = 13,765,112.21/5,436.99
  6. Step 6: Final answer
    x = 2,531.75

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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.