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Finding the Fourth Proportional to 3,904.74, 5,856.66 and 982.89

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Solution

The fourth proportional to 3,904.74, 5,856.66 and 982.89 is: 1,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.74 : 5,856.66 = 982.89 : x
  2. Step 2: Convert to fraction form
    3,904.74/5,856.66 = 982.89/x
  3. Step 3: Cross multiply
    3,904.74x = 5,856.66 × 982.89
  4. Step 4: Simplify right side
    3,904.74x = 5,756,452.55
  5. Step 5: Solve for x
    x = 5,756,452.55/3,904.74
  6. Step 6: Final answer
    x = 1,474.22

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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.