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Finding the Fourth Proportional to 5,166.64, 7,124.52 and 3,673

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Solution

The fourth proportional to 5,166.64, 7,124.52 and 3,673 is: 5,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.64 : 7,124.52 = 3,673 : x
  2. Step 2: Convert to fraction form
    5,166.64/7,124.52 = 3,673/x
  3. Step 3: Cross multiply
    5,166.64x = 7,124.52 × 3,673
  4. Step 4: Simplify right side
    5,166.64x = 26,168,361.96
  5. Step 5: Solve for x
    x = 26,168,361.96/5,166.64
  6. Step 6: Final answer
    x = 5,064.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.