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Finding the Fourth Proportional to 5,846.90, 8,771.88 and 2,560.64

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Solution

The fourth proportional to 5,846.90, 8,771.88 and 2,560.64 is: 3,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.90 : 8,771.88 = 2,560.64 : x
  2. Step 2: Convert to fraction form
    5,846.90/8,771.88 = 2,560.64/x
  3. Step 3: Cross multiply
    5,846.90x = 8,771.88 × 2,560.64
  4. Step 4: Simplify right side
    5,846.90x = 22,461,626.80
  5. Step 5: Solve for x
    x = 22,461,626.80/5,846.90
  6. Step 6: Final answer
    x = 3,841.63

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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.