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Finding the Fourth Proportional to 5,482.38, 8,223.97 and 1,784.32

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Solution

The fourth proportional to 5,482.38, 8,223.97 and 1,784.32 is: 2,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.38 : 8,223.97 = 1,784.32 : x
  2. Step 2: Convert to fraction form
    5,482.38/8,223.97 = 1,784.32/x
  3. Step 3: Cross multiply
    5,482.38x = 8,223.97 × 1,784.32
  4. Step 4: Simplify right side
    5,482.38x = 14,674,194.15
  5. Step 5: Solve for x
    x = 14,674,194.15/5,482.38
  6. Step 6: Final answer
    x = 2,676.61

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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.