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Finding the Fourth Proportional to 3,757.68, 5,636.36 and 984.30

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Solution

The fourth proportional to 3,757.68, 5,636.36 and 984.30 is: 1,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.68 : 5,636.36 = 984.30 : x
  2. Step 2: Convert to fraction form
    3,757.68/5,636.36 = 984.30/x
  3. Step 3: Cross multiply
    3,757.68x = 5,636.36 × 984.30
  4. Step 4: Simplify right side
    3,757.68x = 5,547,843.74
  5. Step 5: Solve for x
    x = 5,547,843.74/3,757.68
  6. Step 6: Final answer
    x = 1,476.40

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1.5x scale

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.