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Finding the Fourth Proportional to 5,207.85, 7,819.67 and 4,549.32

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Solution

The fourth proportional to 5,207.85, 7,819.67 and 4,549.32 is: 6,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.85 : 7,819.67 = 4,549.32 : x
  2. Step 2: Convert to fraction form
    5,207.85/7,819.67 = 4,549.32/x
  3. Step 3: Cross multiply
    5,207.85x = 7,819.67 × 4,549.32
  4. Step 4: Simplify right side
    5,207.85x = 35,574,192.50
  5. Step 5: Solve for x
    x = 35,574,192.50/5,207.85
  6. Step 6: Final answer
    x = 6,830.88

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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.