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Finding the Fourth Proportional to 4,792.84, 7,184.40 and 2,021.23

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Solution

The fourth proportional to 4,792.84, 7,184.40 and 2,021.23 is: 3,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.84 : 7,184.40 = 2,021.23 : x
  2. Step 2: Convert to fraction form
    4,792.84/7,184.40 = 2,021.23/x
  3. Step 3: Cross multiply
    4,792.84x = 7,184.40 × 2,021.23
  4. Step 4: Simplify right side
    4,792.84x = 14,521,324.81
  5. Step 5: Solve for x
    x = 14,521,324.81/4,792.84
  6. Step 6: Final answer
    x = 3,029.80

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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.