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Finding the Fourth Proportional to 5,709.41, 8,559.95 and 3,855.92

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Solution

The fourth proportional to 5,709.41, 8,559.95 and 3,855.92 is: 5,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.41 : 8,559.95 = 3,855.92 : x
  2. Step 2: Convert to fraction form
    5,709.41/8,559.95 = 3,855.92/x
  3. Step 3: Cross multiply
    5,709.41x = 8,559.95 × 3,855.92
  4. Step 4: Simplify right side
    5,709.41x = 33,006,482.40
  5. Step 5: Solve for x
    x = 33,006,482.40/5,709.41
  6. Step 6: Final answer
    x = 5,781.07

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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.