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Finding the Fourth Proportional to 4,794.58, 7,185.32 and 3,623.64

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Solution

The fourth proportional to 4,794.58, 7,185.32 and 3,623.64 is: 5,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.58 : 7,185.32 = 3,623.64 : x
  2. Step 2: Convert to fraction form
    4,794.58/7,185.32 = 3,623.64/x
  3. Step 3: Cross multiply
    4,794.58x = 7,185.32 × 3,623.64
  4. Step 4: Simplify right side
    4,794.58x = 26,037,012.96
  5. Step 5: Solve for x
    x = 26,037,012.96/4,794.58
  6. Step 6: Final answer
    x = 5,430.51

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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.