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Finding the Fourth Proportional to 4,665.63, 6,438.37 and 2,777.39

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Solution

The fourth proportional to 4,665.63, 6,438.37 and 2,777.39 is: 3,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.63 : 6,438.37 = 2,777.39 : x
  2. Step 2: Convert to fraction form
    4,665.63/6,438.37 = 2,777.39/x
  3. Step 3: Cross multiply
    4,665.63x = 6,438.37 × 2,777.39
  4. Step 4: Simplify right side
    4,665.63x = 17,881,864.45
  5. Step 5: Solve for x
    x = 17,881,864.45/4,665.63
  6. Step 6: Final answer
    x = 3,832.68

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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.