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Finding the Fourth Proportional to 4,286.40, 6,434.40 and 2,337.60

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Solution

The fourth proportional to 4,286.40, 6,434.40 and 2,337.60 is: 3,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.40 : 6,434.40 = 2,337.60 : x
  2. Step 2: Convert to fraction form
    4,286.40/6,434.40 = 2,337.60/x
  3. Step 3: Cross multiply
    4,286.40x = 6,434.40 × 2,337.60
  4. Step 4: Simplify right side
    4,286.40x = 15,041,053.44
  5. Step 5: Solve for x
    x = 15,041,053.44/4,286.40
  6. Step 6: Final answer
    x = 3,509.02

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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.