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Finding the Fourth Proportional to 4,665.37, 6,438.20 and 2,540.87

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Solution

The fourth proportional to 4,665.37, 6,438.20 and 2,540.87 is: 3,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.37 : 6,438.20 = 2,540.87 : x
  2. Step 2: Convert to fraction form
    4,665.37/6,438.20 = 2,540.87/x
  3. Step 3: Cross multiply
    4,665.37x = 6,438.20 × 2,540.87
  4. Step 4: Simplify right side
    4,665.37x = 16,358,597.04
  5. Step 5: Solve for x
    x = 16,358,597.04/4,665.37
  6. Step 6: Final answer
    x = 3,506.39

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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.