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Finding the Fourth Proportional to 3,152.37, 4,728.60 and 1,854.75

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Solution

The fourth proportional to 3,152.37, 4,728.60 and 1,854.75 is: 2,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.37 : 4,728.60 = 1,854.75 : x
  2. Step 2: Convert to fraction form
    3,152.37/4,728.60 = 1,854.75/x
  3. Step 3: Cross multiply
    3,152.37x = 4,728.60 × 1,854.75
  4. Step 4: Simplify right side
    3,152.37x = 8,770,370.85
  5. Step 5: Solve for x
    x = 8,770,370.85/3,152.37
  6. Step 6: Final answer
    x = 2,782.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.