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Finding the Fourth Proportional to 3,970.24, 5,476.02 and 2,852.33

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Solution

The fourth proportional to 3,970.24, 5,476.02 and 2,852.33 is: 3,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.24 : 5,476.02 = 2,852.33 : x
  2. Step 2: Convert to fraction form
    3,970.24/5,476.02 = 2,852.33/x
  3. Step 3: Cross multiply
    3,970.24x = 5,476.02 × 2,852.33
  4. Step 4: Simplify right side
    3,970.24x = 15,619,416.13
  5. Step 5: Solve for x
    x = 15,619,416.13/3,970.24
  6. Step 6: Final answer
    x = 3,934.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.