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Finding the Fourth Proportional to 5,742.29, 7,921.09 and 3,970.82

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Solution

The fourth proportional to 5,742.29, 7,921.09 and 3,970.82 is: 5,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.29 : 7,921.09 = 3,970.82 : x
  2. Step 2: Convert to fraction form
    5,742.29/7,921.09 = 3,970.82/x
  3. Step 3: Cross multiply
    5,742.29x = 7,921.09 × 3,970.82
  4. Step 4: Simplify right side
    5,742.29x = 31,453,247.36
  5. Step 5: Solve for x
    x = 31,453,247.36/5,742.29
  6. Step 6: Final answer
    x = 5,477.47

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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.