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Finding the Fourth Proportional to 3,757.45, 5,635.75 and 984.34

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Solution

The fourth proportional to 3,757.45, 5,635.75 and 984.34 is: 1,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.45 : 5,635.75 = 984.34 : x
  2. Step 2: Convert to fraction form
    3,757.45/5,635.75 = 984.34/x
  3. Step 3: Cross multiply
    3,757.45x = 5,635.75 × 984.34
  4. Step 4: Simplify right side
    3,757.45x = 5,547,505.10
  5. Step 5: Solve for x
    x = 5,547,505.10/3,757.45
  6. Step 6: Final answer
    x = 1,476.40

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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.