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Finding the Fourth Proportional to 4,709.36, 7,064.28 and 1,786.64

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Solution

The fourth proportional to 4,709.36, 7,064.28 and 1,786.64 is: 2,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.36 : 7,064.28 = 1,786.64 : x
  2. Step 2: Convert to fraction form
    4,709.36/7,064.28 = 1,786.64/x
  3. Step 3: Cross multiply
    4,709.36x = 7,064.28 × 1,786.64
  4. Step 4: Simplify right side
    4,709.36x = 12,621,325.22
  5. Step 5: Solve for x
    x = 12,621,325.22/4,709.36
  6. Step 6: Final answer
    x = 2,680.05

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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.