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Finding the Fourth Proportional to 4,884.64, 7,325.47 and 1,764.27

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Solution

The fourth proportional to 4,884.64, 7,325.47 and 1,764.27 is: 2,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.64 : 7,325.47 = 1,764.27 : x
  2. Step 2: Convert to fraction form
    4,884.64/7,325.47 = 1,764.27/x
  3. Step 3: Cross multiply
    4,884.64x = 7,325.47 × 1,764.27
  4. Step 4: Simplify right side
    4,884.64x = 12,924,106.96
  5. Step 5: Solve for x
    x = 12,924,106.96/4,884.64
  6. Step 6: Final answer
    x = 2,645.87

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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.