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Finding the Fourth Proportional to 5,333.46, 8,000.19 and 2,048.10

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Solution

The fourth proportional to 5,333.46, 8,000.19 and 2,048.10 is: 3,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.46 : 8,000.19 = 2,048.10 : x
  2. Step 2: Convert to fraction form
    5,333.46/8,000.19 = 2,048.10/x
  3. Step 3: Cross multiply
    5,333.46x = 8,000.19 × 2,048.10
  4. Step 4: Simplify right side
    5,333.46x = 16,385,189.14
  5. Step 5: Solve for x
    x = 16,385,189.14/5,333.46
  6. Step 6: Final answer
    x = 3,072.15

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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.