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Finding the Fourth Proportional to 7,045.06, 9,722.29 and 3,858.29

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Solution

The fourth proportional to 7,045.06, 9,722.29 and 3,858.29 is: 5,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.06 : 9,722.29 = 3,858.29 : x
  2. Step 2: Convert to fraction form
    7,045.06/9,722.29 = 3,858.29/x
  3. Step 3: Cross multiply
    7,045.06x = 9,722.29 × 3,858.29
  4. Step 4: Simplify right side
    7,045.06x = 37,511,428.94
  5. Step 5: Solve for x
    x = 37,511,428.94/7,045.06
  6. Step 6: Final answer
    x = 5,324.50

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Why These Related Problems?

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