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Finding the Fourth Proportional to 5,355.73, 8,033.94 and 1,657.65

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Solution

The fourth proportional to 5,355.73, 8,033.94 and 1,657.65 is: 2,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.73 : 8,033.94 = 1,657.65 : x
  2. Step 2: Convert to fraction form
    5,355.73/8,033.94 = 1,657.65/x
  3. Step 3: Cross multiply
    5,355.73x = 8,033.94 × 1,657.65
  4. Step 4: Simplify right side
    5,355.73x = 13,317,460.64
  5. Step 5: Solve for x
    x = 13,317,460.64/5,355.73
  6. Step 6: Final answer
    x = 2,486.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.