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Finding the Fourth Proportional to 5,225.82, 7,838.70 and 1,330.22

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Solution

The fourth proportional to 5,225.82, 7,838.70 and 1,330.22 is: 1,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.82 : 7,838.70 = 1,330.22 : x
  2. Step 2: Convert to fraction form
    5,225.82/7,838.70 = 1,330.22/x
  3. Step 3: Cross multiply
    5,225.82x = 7,838.70 × 1,330.22
  4. Step 4: Simplify right side
    5,225.82x = 10,427,195.51
  5. Step 5: Solve for x
    x = 10,427,195.51/5,225.82
  6. Step 6: Final answer
    x = 1,995.32

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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.