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Finding the Fourth Proportional to 5,778.24, 7,973.49 and 3,259.86

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Solution

The fourth proportional to 5,778.24, 7,973.49 and 3,259.86 is: 4,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.24 : 7,973.49 = 3,259.86 : x
  2. Step 2: Convert to fraction form
    5,778.24/7,973.49 = 3,259.86/x
  3. Step 3: Cross multiply
    5,778.24x = 7,973.49 × 3,259.86
  4. Step 4: Simplify right side
    5,778.24x = 25,992,461.11
  5. Step 5: Solve for x
    x = 25,992,461.11/5,778.24
  6. Step 6: Final answer
    x = 4,498.34

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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.