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Finding the Fourth Proportional to 5,029.83, 6,940.89 and 2,905.47

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Solution

The fourth proportional to 5,029.83, 6,940.89 and 2,905.47 is: 4,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.83 : 6,940.89 = 2,905.47 : x
  2. Step 2: Convert to fraction form
    5,029.83/6,940.89 = 2,905.47/x
  3. Step 3: Cross multiply
    5,029.83x = 6,940.89 × 2,905.47
  4. Step 4: Simplify right side
    5,029.83x = 20,166,547.67
  5. Step 5: Solve for x
    x = 20,166,547.67/5,029.83
  6. Step 6: Final answer
    x = 4,009.39

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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.