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Finding the Fourth Proportional to 3,970.14, 5,953.20 and 1,336.56

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Solution

The fourth proportional to 3,970.14, 5,953.20 and 1,336.56 is: 2,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.14 : 5,953.20 = 1,336.56 : x
  2. Step 2: Convert to fraction form
    3,970.14/5,953.20 = 1,336.56/x
  3. Step 3: Cross multiply
    3,970.14x = 5,953.20 × 1,336.56
  4. Step 4: Simplify right side
    3,970.14x = 7,956,808.99
  5. Step 5: Solve for x
    x = 7,956,808.99/3,970.14
  6. Step 6: Final answer
    x = 2,004.16

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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.