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Finding the Fourth Proportional to 5,829.26, 8,043.14 and 3,941.14

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Solution

The fourth proportional to 5,829.26, 8,043.14 and 3,941.14 is: 5,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.26 : 8,043.14 = 3,941.14 : x
  2. Step 2: Convert to fraction form
    5,829.26/8,043.14 = 3,941.14/x
  3. Step 3: Cross multiply
    5,829.26x = 8,043.14 × 3,941.14
  4. Step 4: Simplify right side
    5,829.26x = 31,699,140.78
  5. Step 5: Solve for x
    x = 31,699,140.78/5,829.26
  6. Step 6: Final answer
    x = 5,437.94

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1.5x scale

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.