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Finding the Fourth Proportional to 5,844.42, 8,765.31 and 1,683.48

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Solution

The fourth proportional to 5,844.42, 8,765.31 and 1,683.48 is: 2,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.42 : 8,765.31 = 1,683.48 : x
  2. Step 2: Convert to fraction form
    5,844.42/8,765.31 = 1,683.48/x
  3. Step 3: Cross multiply
    5,844.42x = 8,765.31 × 1,683.48
  4. Step 4: Simplify right side
    5,844.42x = 14,756,263.26
  5. Step 5: Solve for x
    x = 14,756,263.26/5,844.42
  6. Step 6: Final answer
    x = 2,524.85

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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.