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Finding the Fourth Proportional to 4,653.84, 6,980.04 and 3,021.96

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Solution

The fourth proportional to 4,653.84, 6,980.04 and 3,021.96 is: 4,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.84 : 6,980.04 = 3,021.96 : x
  2. Step 2: Convert to fraction form
    4,653.84/6,980.04 = 3,021.96/x
  3. Step 3: Cross multiply
    4,653.84x = 6,980.04 × 3,021.96
  4. Step 4: Simplify right side
    4,653.84x = 21,093,401.68
  5. Step 5: Solve for x
    x = 21,093,401.68/4,653.84
  6. Step 6: Final answer
    x = 4,532.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.