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Finding the Fourth Proportional to 6,929.58, 10,390.62 and 3,029.42

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Solution

The fourth proportional to 6,929.58, 10,390.62 and 3,029.42 is: 4,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.58 : 10,390.62 = 3,029.42 : x
  2. Step 2: Convert to fraction form
    6,929.58/10,390.62 = 3,029.42/x
  3. Step 3: Cross multiply
    6,929.58x = 10,390.62 × 3,029.42
  4. Step 4: Simplify right side
    6,929.58x = 31,477,552.04
  5. Step 5: Solve for x
    x = 31,477,552.04/6,929.58
  6. Step 6: Final answer
    x = 4,542.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.