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Finding the Fourth Proportional to 5,857.74, 8,804.70 and 3,922.38

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Solution

The fourth proportional to 5,857.74, 8,804.70 and 3,922.38 is: 5,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.74 : 8,804.70 = 3,922.38 : x
  2. Step 2: Convert to fraction form
    5,857.74/8,804.70 = 3,922.38/x
  3. Step 3: Cross multiply
    5,857.74x = 8,804.70 × 3,922.38
  4. Step 4: Simplify right side
    5,857.74x = 34,535,379.19
  5. Step 5: Solve for x
    x = 34,535,379.19/5,857.74
  6. Step 6: Final answer
    x = 5,895.68

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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.