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Finding the Fourth Proportional to 3,904.69, 5,855.69 and 1,130.62

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Solution

The fourth proportional to 3,904.69, 5,855.69 and 1,130.62 is: 1,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.69 : 5,855.69 = 1,130.62 : x
  2. Step 2: Convert to fraction form
    3,904.69/5,855.69 = 1,130.62/x
  3. Step 3: Cross multiply
    3,904.69x = 5,855.69 × 1,130.62
  4. Step 4: Simplify right side
    3,904.69x = 6,620,558.37
  5. Step 5: Solve for x
    x = 6,620,558.37/3,904.69
  6. Step 6: Final answer
    x = 1,695.54

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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.