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Finding the Fourth Proportional to 5,435.80, 8,153.70 and 5,111.80

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Solution

The fourth proportional to 5,435.80, 8,153.70 and 5,111.80 is: 7,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.80 : 8,153.70 = 5,111.80 : x
  2. Step 2: Convert to fraction form
    5,435.80/8,153.70 = 5,111.80/x
  3. Step 3: Cross multiply
    5,435.80x = 8,153.70 × 5,111.80
  4. Step 4: Simplify right side
    5,435.80x = 41,680,083.66
  5. Step 5: Solve for x
    x = 41,680,083.66/5,435.80
  6. Step 6: Final answer
    x = 7,667.70

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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.