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Finding the Fourth Proportional to 5,307.93, 7,960.77 and 2,021.31

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Solution

The fourth proportional to 5,307.93, 7,960.77 and 2,021.31 is: 3,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.93 : 7,960.77 = 2,021.31 : x
  2. Step 2: Convert to fraction form
    5,307.93/7,960.77 = 2,021.31/x
  3. Step 3: Cross multiply
    5,307.93x = 7,960.77 × 2,021.31
  4. Step 4: Simplify right side
    5,307.93x = 16,091,184.01
  5. Step 5: Solve for x
    x = 16,091,184.01/5,307.93
  6. Step 6: Final answer
    x = 3,031.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.