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Finding the Fourth Proportional to 4,199.78, 5,795.96 and 2,407.39

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Solution

The fourth proportional to 4,199.78, 5,795.96 and 2,407.39 is: 3,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.78 : 5,795.96 = 2,407.39 : x
  2. Step 2: Convert to fraction form
    4,199.78/5,795.96 = 2,407.39/x
  3. Step 3: Cross multiply
    4,199.78x = 5,795.96 × 2,407.39
  4. Step 4: Simplify right side
    4,199.78x = 13,953,109.62
  5. Step 5: Solve for x
    x = 13,953,109.62/4,199.78
  6. Step 6: Final answer
    x = 3,322.34

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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.