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Finding the Fourth Proportional to 3,191.98, 4,764.52 and 2,957.14

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Solution

The fourth proportional to 3,191.98, 4,764.52 and 2,957.14 is: 4,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.98 : 4,764.52 = 2,957.14 : x
  2. Step 2: Convert to fraction form
    3,191.98/4,764.52 = 2,957.14/x
  3. Step 3: Cross multiply
    3,191.98x = 4,764.52 × 2,957.14
  4. Step 4: Simplify right side
    3,191.98x = 14,089,352.67
  5. Step 5: Solve for x
    x = 14,089,352.67/3,191.98
  6. Step 6: Final answer
    x = 4,413.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.