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Finding the Fourth Proportional to 5,751.80, 8,627.70 and 4,638.20

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Solution

The fourth proportional to 5,751.80, 8,627.70 and 4,638.20 is: 6,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.80 : 8,627.70 = 4,638.20 : x
  2. Step 2: Convert to fraction form
    5,751.80/8,627.70 = 4,638.20/x
  3. Step 3: Cross multiply
    5,751.80x = 8,627.70 × 4,638.20
  4. Step 4: Simplify right side
    5,751.80x = 40,016,998.14
  5. Step 5: Solve for x
    x = 40,016,998.14/5,751.80
  6. Step 6: Final answer
    x = 6,957.30

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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.