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Finding the Fourth Proportional to 5,055.62, 6,973.90 and 3,189.38

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Solution

The fourth proportional to 5,055.62, 6,973.90 and 3,189.38 is: 4,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.62 : 6,973.90 = 3,189.38 : x
  2. Step 2: Convert to fraction form
    5,055.62/6,973.90 = 3,189.38/x
  3. Step 3: Cross multiply
    5,055.62x = 6,973.90 × 3,189.38
  4. Step 4: Simplify right side
    5,055.62x = 22,242,374.34
  5. Step 5: Solve for x
    x = 22,242,374.34/5,055.62
  6. Step 6: Final answer
    x = 4,399.54

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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.