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Finding the Fourth Proportional to 5,276.64, 7,914.78 and 2,504.64

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Solution

The fourth proportional to 5,276.64, 7,914.78 and 2,504.64 is: 3,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.64 : 7,914.78 = 2,504.64 : x
  2. Step 2: Convert to fraction form
    5,276.64/7,914.78 = 2,504.64/x
  3. Step 3: Cross multiply
    5,276.64x = 7,914.78 × 2,504.64
  4. Step 4: Simplify right side
    5,276.64x = 19,823,674.58
  5. Step 5: Solve for x
    x = 19,823,674.58/5,276.64
  6. Step 6: Final answer
    x = 3,756.87

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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.