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Finding the Fourth Proportional to 5,777.40, 8,668.14 and 1,881.82

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Solution

The fourth proportional to 5,777.40, 8,668.14 and 1,881.82 is: 2,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.40 : 8,668.14 = 1,881.82 : x
  2. Step 2: Convert to fraction form
    5,777.40/8,668.14 = 1,881.82/x
  3. Step 3: Cross multiply
    5,777.40x = 8,668.14 × 1,881.82
  4. Step 4: Simplify right side
    5,777.40x = 16,311,879.21
  5. Step 5: Solve for x
    x = 16,311,879.21/5,777.40
  6. Step 6: Final answer
    x = 2,823.39

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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.