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Finding the Fourth Proportional to 3,152.60, 4,728.14 and 1,396.63

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Solution

The fourth proportional to 3,152.60, 4,728.14 and 1,396.63 is: 2,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.60 : 4,728.14 = 1,396.63 : x
  2. Step 2: Convert to fraction form
    3,152.60/4,728.14 = 1,396.63/x
  3. Step 3: Cross multiply
    3,152.60x = 4,728.14 × 1,396.63
  4. Step 4: Simplify right side
    3,152.60x = 6,603,470.50
  5. Step 5: Solve for x
    x = 6,603,470.50/3,152.60
  6. Step 6: Final answer
    x = 2,094.61

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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.