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Finding the Fourth Proportional to 5,644.77, 8,467.15 and 3,052.77

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Solution

The fourth proportional to 5,644.77, 8,467.15 and 3,052.77 is: 4,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.77 : 8,467.15 = 3,052.77 : x
  2. Step 2: Convert to fraction form
    5,644.77/8,467.15 = 3,052.77/x
  3. Step 3: Cross multiply
    5,644.77x = 8,467.15 × 3,052.77
  4. Step 4: Simplify right side
    5,644.77x = 25,848,261.51
  5. Step 5: Solve for x
    x = 25,848,261.51/5,644.77
  6. Step 6: Final answer
    x = 4,579.15

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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.