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Finding the Fourth Proportional to 5,942.88, 8,915.76 and 1,782.88

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Solution

The fourth proportional to 5,942.88, 8,915.76 and 1,782.88 is: 2,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.88 : 8,915.76 = 1,782.88 : x
  2. Step 2: Convert to fraction form
    5,942.88/8,915.76 = 1,782.88/x
  3. Step 3: Cross multiply
    5,942.88x = 8,915.76 × 1,782.88
  4. Step 4: Simplify right side
    5,942.88x = 15,895,730.19
  5. Step 5: Solve for x
    x = 15,895,730.19/5,942.88
  6. Step 6: Final answer
    x = 2,674.75

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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.