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Finding the Fourth Proportional to 5,700.18, 8,548.20 and 2,413.50

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Solution

The fourth proportional to 5,700.18, 8,548.20 and 2,413.50 is: 3,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.18 : 8,548.20 = 2,413.50 : x
  2. Step 2: Convert to fraction form
    5,700.18/8,548.20 = 2,413.50/x
  3. Step 3: Cross multiply
    5,700.18x = 8,548.20 × 2,413.50
  4. Step 4: Simplify right side
    5,700.18x = 20,631,080.70
  5. Step 5: Solve for x
    x = 20,631,080.70/5,700.18
  6. Step 6: Final answer
    x = 3,619.37

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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.