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Finding the Fourth Proportional to 4,858.64, 7,286.17 and 1,737.80

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Solution

The fourth proportional to 4,858.64, 7,286.17 and 1,737.80 is: 2,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.64 : 7,286.17 = 1,737.80 : x
  2. Step 2: Convert to fraction form
    4,858.64/7,286.17 = 1,737.80/x
  3. Step 3: Cross multiply
    4,858.64x = 7,286.17 × 1,737.80
  4. Step 4: Simplify right side
    4,858.64x = 12,661,861.11
  5. Step 5: Solve for x
    x = 12,661,861.11/4,858.64
  6. Step 6: Final answer
    x = 2,606.05

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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.