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Finding the Fourth Proportional to 6,277.50, 9,413.80 and 3,354.20

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Solution

The fourth proportional to 6,277.50, 9,413.80 and 3,354.20 is: 5,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.50 : 9,413.80 = 3,354.20 : x
  2. Step 2: Convert to fraction form
    6,277.50/9,413.80 = 3,354.20/x
  3. Step 3: Cross multiply
    6,277.50x = 9,413.80 × 3,354.20
  4. Step 4: Simplify right side
    6,277.50x = 31,575,767.96
  5. Step 5: Solve for x
    x = 31,575,767.96/6,277.50
  6. Step 6: Final answer
    x = 5,029.99

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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.