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Finding the Fourth Proportional to 3,676.37, 5,070.71 and 2,332.39

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Solution

The fourth proportional to 3,676.37, 5,070.71 and 2,332.39 is: 3,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.37 : 5,070.71 = 2,332.39 : x
  2. Step 2: Convert to fraction form
    3,676.37/5,070.71 = 2,332.39/x
  3. Step 3: Cross multiply
    3,676.37x = 5,070.71 × 2,332.39
  4. Step 4: Simplify right side
    3,676.37x = 11,826,885.47
  5. Step 5: Solve for x
    x = 11,826,885.47/3,676.37
  6. Step 6: Final answer
    x = 3,217.00

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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.