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Finding the Fourth Proportional to 5,829.61, 8,044.54 and 3,311.65

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Solution

The fourth proportional to 5,829.61, 8,044.54 and 3,311.65 is: 4,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.61 : 8,044.54 = 3,311.65 : x
  2. Step 2: Convert to fraction form
    5,829.61/8,044.54 = 3,311.65/x
  3. Step 3: Cross multiply
    5,829.61x = 8,044.54 × 3,311.65
  4. Step 4: Simplify right side
    5,829.61x = 26,640,700.89
  5. Step 5: Solve for x
    x = 26,640,700.89/5,829.61
  6. Step 6: Final answer
    x = 4,569.89

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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.