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Finding the Fourth Proportional to 3,792.02, 5,687.99 and 1,483.50

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Solution

The fourth proportional to 3,792.02, 5,687.99 and 1,483.50 is: 2,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.02 : 5,687.99 = 1,483.50 : x
  2. Step 2: Convert to fraction form
    3,792.02/5,687.99 = 1,483.50/x
  3. Step 3: Cross multiply
    3,792.02x = 5,687.99 × 1,483.50
  4. Step 4: Simplify right side
    3,792.02x = 8,438,133.17
  5. Step 5: Solve for x
    x = 8,438,133.17/3,792.02
  6. Step 6: Final answer
    x = 2,225.23

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Why These Related Problems?

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