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Finding the Fourth Proportional to 5,674.01, 7,828.97 and 3,315.69

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Solution

The fourth proportional to 5,674.01, 7,828.97 and 3,315.69 is: 4,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.01 : 7,828.97 = 3,315.69 : x
  2. Step 2: Convert to fraction form
    5,674.01/7,828.97 = 3,315.69/x
  3. Step 3: Cross multiply
    5,674.01x = 7,828.97 × 3,315.69
  4. Step 4: Simplify right side
    5,674.01x = 25,958,437.54
  5. Step 5: Solve for x
    x = 25,958,437.54/5,674.01
  6. Step 6: Final answer
    x = 4,574.97

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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.