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Finding the Fourth Proportional to 4,533.75, 6,801.60 and 1,413.69

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Solution

The fourth proportional to 4,533.75, 6,801.60 and 1,413.69 is: 2,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.75 : 6,801.60 = 1,413.69 : x
  2. Step 2: Convert to fraction form
    4,533.75/6,801.60 = 1,413.69/x
  3. Step 3: Cross multiply
    4,533.75x = 6,801.60 × 1,413.69
  4. Step 4: Simplify right side
    4,533.75x = 9,615,353.90
  5. Step 5: Solve for x
    x = 9,615,353.90/4,533.75
  6. Step 6: Final answer
    x = 2,120.84

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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.