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Finding the Fourth Proportional to 5,157.50, 7,117.35 and 2,919.33

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Solution

The fourth proportional to 5,157.50, 7,117.35 and 2,919.33 is: 4,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.50 : 7,117.35 = 2,919.33 : x
  2. Step 2: Convert to fraction form
    5,157.50/7,117.35 = 2,919.33/x
  3. Step 3: Cross multiply
    5,157.50x = 7,117.35 × 2,919.33
  4. Step 4: Simplify right side
    5,157.50x = 20,777,893.38
  5. Step 5: Solve for x
    x = 20,777,893.38/5,157.50
  6. Step 6: Final answer
    x = 4,028.68

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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.