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Finding the Fourth Proportional to 5,333.39, 8,000.57 and 1,384.64

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Solution

The fourth proportional to 5,333.39, 8,000.57 and 1,384.64 is: 2,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.39 : 8,000.57 = 1,384.64 : x
  2. Step 2: Convert to fraction form
    5,333.39/8,000.57 = 1,384.64/x
  3. Step 3: Cross multiply
    5,333.39x = 8,000.57 × 1,384.64
  4. Step 4: Simplify right side
    5,333.39x = 11,077,909.24
  5. Step 5: Solve for x
    x = 11,077,909.24/5,333.39
  6. Step 6: Final answer
    x = 2,077.09

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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.