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Finding the Fourth Proportional to 3,152.85, 4,728.52 and 1,396.88

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Solution

The fourth proportional to 3,152.85, 4,728.52 and 1,396.88 is: 2,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.85 : 4,728.52 = 1,396.88 : x
  2. Step 2: Convert to fraction form
    3,152.85/4,728.52 = 1,396.88/x
  3. Step 3: Cross multiply
    3,152.85x = 4,728.52 × 1,396.88
  4. Step 4: Simplify right side
    3,152.85x = 6,605,168.03
  5. Step 5: Solve for x
    x = 6,605,168.03/3,152.85
  6. Step 6: Final answer
    x = 2,094.98

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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.