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Finding the Fourth Proportional to 5,054.67, 6,973.43 and 3,285.63

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Solution

The fourth proportional to 5,054.67, 6,973.43 and 3,285.63 is: 4,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.67 : 6,973.43 = 3,285.63 : x
  2. Step 2: Convert to fraction form
    5,054.67/6,973.43 = 3,285.63/x
  3. Step 3: Cross multiply
    5,054.67x = 6,973.43 × 3,285.63
  4. Step 4: Simplify right side
    5,054.67x = 22,912,094.38
  5. Step 5: Solve for x
    x = 22,912,094.38/5,054.67
  6. Step 6: Final answer
    x = 4,532.86

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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.