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Finding the Fourth Proportional to 4,534.56, 6,801.18 and 1,413.83

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Solution

The fourth proportional to 4,534.56, 6,801.18 and 1,413.83 is: 2,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.56 : 6,801.18 = 1,413.83 : x
  2. Step 2: Convert to fraction form
    4,534.56/6,801.18 = 1,413.83/x
  3. Step 3: Cross multiply
    4,534.56x = 6,801.18 × 1,413.83
  4. Step 4: Simplify right side
    4,534.56x = 9,615,678.31
  5. Step 5: Solve for x
    x = 9,615,678.31/4,534.56
  6. Step 6: Final answer
    x = 2,120.53

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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.