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Finding the Fourth Proportional to 5,777.69, 7,973.06 and 3,259.70

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Solution

The fourth proportional to 5,777.69, 7,973.06 and 3,259.70 is: 4,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.69 : 7,973.06 = 3,259.70 : x
  2. Step 2: Convert to fraction form
    5,777.69/7,973.06 = 3,259.70/x
  3. Step 3: Cross multiply
    5,777.69x = 7,973.06 × 3,259.70
  4. Step 4: Simplify right side
    5,777.69x = 25,989,727.52
  5. Step 5: Solve for x
    x = 25,989,727.52/5,777.69
  6. Step 6: Final answer
    x = 4,498.29

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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.