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Finding the Fourth Proportional to 3,787.92, 5,685.06 and 1,598.22

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Solution

The fourth proportional to 3,787.92, 5,685.06 and 1,598.22 is: 2,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.92 : 5,685.06 = 1,598.22 : x
  2. Step 2: Convert to fraction form
    3,787.92/5,685.06 = 1,598.22/x
  3. Step 3: Cross multiply
    3,787.92x = 5,685.06 × 1,598.22
  4. Step 4: Simplify right side
    3,787.92x = 9,085,976.59
  5. Step 5: Solve for x
    x = 9,085,976.59/3,787.92
  6. Step 6: Final answer
    x = 2,398.67

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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.