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Finding the Fourth Proportional to 4,676.76, 7,031.04 and 4,103.28

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Solution

The fourth proportional to 4,676.76, 7,031.04 and 4,103.28 is: 6,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.76 : 7,031.04 = 4,103.28 : x
  2. Step 2: Convert to fraction form
    4,676.76/7,031.04 = 4,103.28/x
  3. Step 3: Cross multiply
    4,676.76x = 7,031.04 × 4,103.28
  4. Step 4: Simplify right side
    4,676.76x = 28,850,325.81
  5. Step 5: Solve for x
    x = 28,850,325.81/4,676.76
  6. Step 6: Final answer
    x = 6,168.87

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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.