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Finding the Fourth Proportional to 5,829.42, 8,044.31 and 3,311.48

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Solution

The fourth proportional to 5,829.42, 8,044.31 and 3,311.48 is: 4,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.42 : 8,044.31 = 3,311.48 : x
  2. Step 2: Convert to fraction form
    5,829.42/8,044.31 = 3,311.48/x
  3. Step 3: Cross multiply
    5,829.42x = 8,044.31 × 3,311.48
  4. Step 4: Simplify right side
    5,829.42x = 26,638,600.07
  5. Step 5: Solve for x
    x = 26,638,600.07/5,829.42
  6. Step 6: Final answer
    x = 4,569.68

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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.