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Finding the Fourth Proportional to 5,333.82, 7,999.36 and 1,584.74

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Solution

The fourth proportional to 5,333.82, 7,999.36 and 1,584.74 is: 2,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.82 : 7,999.36 = 1,584.74 : x
  2. Step 2: Convert to fraction form
    5,333.82/7,999.36 = 1,584.74/x
  3. Step 3: Cross multiply
    5,333.82x = 7,999.36 × 1,584.74
  4. Step 4: Simplify right side
    5,333.82x = 12,676,899.30
  5. Step 5: Solve for x
    x = 12,676,899.30/5,333.82
  6. Step 6: Final answer
    x = 2,376.70

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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.