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Finding the Fourth Proportional to 3,792, 5,689.35 and 1,943.99

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Solution

The fourth proportional to 3,792, 5,689.35 and 1,943.99 is: 2,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792 : 5,689.35 = 1,943.99 : x
  2. Step 2: Convert to fraction form
    3,792/5,689.35 = 1,943.99/x
  3. Step 3: Cross multiply
    3,792x = 5,689.35 × 1,943.99
  4. Step 4: Simplify right side
    3,792x = 11,060,039.51
  5. Step 5: Solve for x
    x = 11,060,039.51/3,792
  6. Step 6: Final answer
    x = 2,916.68

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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.