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Finding the Fourth Proportional to 4,738.32, 7,106.62 and 1,274.76

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Solution

The fourth proportional to 4,738.32, 7,106.62 and 1,274.76 is: 1,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.32 : 7,106.62 = 1,274.76 : x
  2. Step 2: Convert to fraction form
    4,738.32/7,106.62 = 1,274.76/x
  3. Step 3: Cross multiply
    4,738.32x = 7,106.62 × 1,274.76
  4. Step 4: Simplify right side
    4,738.32x = 9,059,234.91
  5. Step 5: Solve for x
    x = 9,059,234.91/4,738.32
  6. Step 6: Final answer
    x = 1,911.91

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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.