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Finding the Fourth Proportional to 6,554.12, 9,045.48 and 3,722.38

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Solution

The fourth proportional to 6,554.12, 9,045.48 and 3,722.38 is: 5,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.12 : 9,045.48 = 3,722.38 : x
  2. Step 2: Convert to fraction form
    6,554.12/9,045.48 = 3,722.38/x
  3. Step 3: Cross multiply
    6,554.12x = 9,045.48 × 3,722.38
  4. Step 4: Simplify right side
    6,554.12x = 33,670,713.84
  5. Step 5: Solve for x
    x = 33,670,713.84/6,554.12
  6. Step 6: Final answer
    x = 5,137.34

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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.