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Finding the Fourth Proportional to 4,923.16, 7,384.60 and 1,413.44

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Solution

The fourth proportional to 4,923.16, 7,384.60 and 1,413.44 is: 2,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.16 : 7,384.60 = 1,413.44 : x
  2. Step 2: Convert to fraction form
    4,923.16/7,384.60 = 1,413.44/x
  3. Step 3: Cross multiply
    4,923.16x = 7,384.60 × 1,413.44
  4. Step 4: Simplify right side
    4,923.16x = 10,437,689.02
  5. Step 5: Solve for x
    x = 10,437,689.02/4,923.16
  6. Step 6: Final answer
    x = 2,120.12

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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.