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Finding the Fourth Proportional to 5,005.46, 6,905.30 and 2,908.46

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Solution

The fourth proportional to 5,005.46, 6,905.30 and 2,908.46 is: 4,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.46 : 6,905.30 = 2,908.46 : x
  2. Step 2: Convert to fraction form
    5,005.46/6,905.30 = 2,908.46/x
  3. Step 3: Cross multiply
    5,005.46x = 6,905.30 × 2,908.46
  4. Step 4: Simplify right side
    5,005.46x = 20,083,788.84
  5. Step 5: Solve for x
    x = 20,083,788.84/5,005.46
  6. Step 6: Final answer
    x = 4,012.38

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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.