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Finding the Fourth Proportional to 5,747.42, 8,621.76 and 4,577.42

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Solution

The fourth proportional to 5,747.42, 8,621.76 and 4,577.42 is: 6,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.42 : 8,621.76 = 4,577.42 : x
  2. Step 2: Convert to fraction form
    5,747.42/8,621.76 = 4,577.42/x
  3. Step 3: Cross multiply
    5,747.42x = 8,621.76 × 4,577.42
  4. Step 4: Simplify right side
    5,747.42x = 39,465,416.66
  5. Step 5: Solve for x
    x = 39,465,416.66/5,747.42
  6. Step 6: Final answer
    x = 6,866.63

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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.