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Finding the Fourth Proportional to 4,636.88, 6,398.80 and 3,312.83

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Solution

The fourth proportional to 4,636.88, 6,398.80 and 3,312.83 is: 4,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.88 : 6,398.80 = 3,312.83 : x
  2. Step 2: Convert to fraction form
    4,636.88/6,398.80 = 3,312.83/x
  3. Step 3: Cross multiply
    4,636.88x = 6,398.80 × 3,312.83
  4. Step 4: Simplify right side
    4,636.88x = 21,198,144.32
  5. Step 5: Solve for x
    x = 21,198,144.32/4,636.88
  6. Step 6: Final answer
    x = 4,571.64

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