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Finding the Fourth Proportional to 5,419.78, 7,479.30 and 2,935.78

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Solution

The fourth proportional to 5,419.78, 7,479.30 and 2,935.78 is: 4,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.78 : 7,479.30 = 2,935.78 : x
  2. Step 2: Convert to fraction form
    5,419.78/7,479.30 = 2,935.78/x
  3. Step 3: Cross multiply
    5,419.78x = 7,479.30 × 2,935.78
  4. Step 4: Simplify right side
    5,419.78x = 21,957,579.35
  5. Step 5: Solve for x
    x = 21,957,579.35/5,419.78
  6. Step 6: Final answer
    x = 4,051.38

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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.