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Finding the Fourth Proportional to 4,941.93, 7,413.29 and 1,431.99

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Solution

The fourth proportional to 4,941.93, 7,413.29 and 1,431.99 is: 2,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.93 : 7,413.29 = 1,431.99 : x
  2. Step 2: Convert to fraction form
    4,941.93/7,413.29 = 1,431.99/x
  3. Step 3: Cross multiply
    4,941.93x = 7,413.29 × 1,431.99
  4. Step 4: Simplify right side
    4,941.93x = 10,615,757.15
  5. Step 5: Solve for x
    x = 10,615,757.15/4,941.93
  6. Step 6: Final answer
    x = 2,148.10

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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.