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Finding the Fourth Proportional to 3,970.05, 5,956.07 and 1,196.66

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Solution

The fourth proportional to 3,970.05, 5,956.07 and 1,196.66 is: 1,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.05 : 5,956.07 = 1,196.66 : x
  2. Step 2: Convert to fraction form
    3,970.05/5,956.07 = 1,196.66/x
  3. Step 3: Cross multiply
    3,970.05x = 5,956.07 × 1,196.66
  4. Step 4: Simplify right side
    3,970.05x = 7,127,384.74
  5. Step 5: Solve for x
    x = 7,127,384.74/3,970.05
  6. Step 6: Final answer
    x = 1,795.29

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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.