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Finding the Fourth Proportional to 5,760.64, 8,641.50 and 3,466.72

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Solution

The fourth proportional to 5,760.64, 8,641.50 and 3,466.72 is: 5,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.64 : 8,641.50 = 3,466.72 : x
  2. Step 2: Convert to fraction form
    5,760.64/8,641.50 = 3,466.72/x
  3. Step 3: Cross multiply
    5,760.64x = 8,641.50 × 3,466.72
  4. Step 4: Simplify right side
    5,760.64x = 29,957,660.88
  5. Step 5: Solve for x
    x = 29,957,660.88/5,760.64
  6. Step 6: Final answer
    x = 5,200.40

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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.