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Finding the Fourth Proportional to 5,777.70, 8,662.63 and 2,265.50

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Solution

The fourth proportional to 5,777.70, 8,662.63 and 2,265.50 is: 3,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.70 : 8,662.63 = 2,265.50 : x
  2. Step 2: Convert to fraction form
    5,777.70/8,662.63 = 2,265.50/x
  3. Step 3: Cross multiply
    5,777.70x = 8,662.63 × 2,265.50
  4. Step 4: Simplify right side
    5,777.70x = 19,625,208.51
  5. Step 5: Solve for x
    x = 19,625,208.51/5,777.70
  6. Step 6: Final answer
    x = 3,396.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.