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Finding the Fourth Proportional to 5,674.23, 7,829.28 and 3,315.92

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Solution

The fourth proportional to 5,674.23, 7,829.28 and 3,315.92 is: 4,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.23 : 7,829.28 = 3,315.92 : x
  2. Step 2: Convert to fraction form
    5,674.23/7,829.28 = 3,315.92/x
  3. Step 3: Cross multiply
    5,674.23x = 7,829.28 × 3,315.92
  4. Step 4: Simplify right side
    5,674.23x = 25,961,226.99
  5. Step 5: Solve for x
    x = 25,961,226.99/5,674.23
  6. Step 6: Final answer
    x = 4,575.29

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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.