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Finding the Fourth Proportional to 5,730.86, 7,911.87 and 4,383.99

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Solution

The fourth proportional to 5,730.86, 7,911.87 and 4,383.99 is: 6,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.86 : 7,911.87 = 4,383.99 : x
  2. Step 2: Convert to fraction form
    5,730.86/7,911.87 = 4,383.99/x
  3. Step 3: Cross multiply
    5,730.86x = 7,911.87 × 4,383.99
  4. Step 4: Simplify right side
    5,730.86x = 34,685,542.52
  5. Step 5: Solve for x
    x = 34,685,542.52/5,730.86
  6. Step 6: Final answer
    x = 6,052.41

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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.