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Finding the Fourth Proportional to 3,877.02, 5,354.64 and 3,003.39

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Solution

The fourth proportional to 3,877.02, 5,354.64 and 3,003.39 is: 4,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.02 : 5,354.64 = 3,003.39 : x
  2. Step 2: Convert to fraction form
    3,877.02/5,354.64 = 3,003.39/x
  3. Step 3: Cross multiply
    3,877.02x = 5,354.64 × 3,003.39
  4. Step 4: Simplify right side
    3,877.02x = 16,082,072.23
  5. Step 5: Solve for x
    x = 16,082,072.23/3,877.02
  6. Step 6: Final answer
    x = 4,148.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.