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Finding the Fourth Proportional to 3,970.49, 5,953.82 and 1,196.65

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Solution

The fourth proportional to 3,970.49, 5,953.82 and 1,196.65 is: 1,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.49 : 5,953.82 = 1,196.65 : x
  2. Step 2: Convert to fraction form
    3,970.49/5,953.82 = 1,196.65/x
  3. Step 3: Cross multiply
    3,970.49x = 5,953.82 × 1,196.65
  4. Step 4: Simplify right side
    3,970.49x = 7,124,602.95
  5. Step 5: Solve for x
    x = 7,124,602.95/3,970.49
  6. Step 6: Final answer
    x = 1,794.39

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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.