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Finding the Fourth Proportional to 4,575.69, 6,310.71 and 3,985.20

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Solution

The fourth proportional to 4,575.69, 6,310.71 and 3,985.20 is: 5,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.69 : 6,310.71 = 3,985.20 : x
  2. Step 2: Convert to fraction form
    4,575.69/6,310.71 = 3,985.20/x
  3. Step 3: Cross multiply
    4,575.69x = 6,310.71 × 3,985.20
  4. Step 4: Simplify right side
    4,575.69x = 25,149,441.49
  5. Step 5: Solve for x
    x = 25,149,441.49/4,575.69
  6. Step 6: Final answer
    x = 5,496.32

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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.