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Finding the Fourth Proportional to 5,317.65, 7,338.06 and 3,548.97

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Solution

The fourth proportional to 5,317.65, 7,338.06 and 3,548.97 is: 4,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.65 : 7,338.06 = 3,548.97 : x
  2. Step 2: Convert to fraction form
    5,317.65/7,338.06 = 3,548.97/x
  3. Step 3: Cross multiply
    5,317.65x = 7,338.06 × 3,548.97
  4. Step 4: Simplify right side
    5,317.65x = 26,042,554.80
  5. Step 5: Solve for x
    x = 26,042,554.80/5,317.65
  6. Step 6: Final answer
    x = 4,897.38

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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.