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Finding the Fourth Proportional to 3,334.10, 5,000.76 and 994.10

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Solution

The fourth proportional to 3,334.10, 5,000.76 and 994.10 is: 1,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.10 : 5,000.76 = 994.10 : x
  2. Step 2: Convert to fraction form
    3,334.10/5,000.76 = 994.10/x
  3. Step 3: Cross multiply
    3,334.10x = 5,000.76 × 994.10
  4. Step 4: Simplify right side
    3,334.10x = 4,971,230.51
  5. Step 5: Solve for x
    x = 4,971,230.51/3,334.10
  6. Step 6: Final answer
    x = 1,491.03

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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.