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Finding the Fourth Proportional to 3,171.30, 4,764.15 and 3,048.90

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Solution

The fourth proportional to 3,171.30, 4,764.15 and 3,048.90 is: 4,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.30 : 4,764.15 = 3,048.90 : x
  2. Step 2: Convert to fraction form
    3,171.30/4,764.15 = 3,048.90/x
  3. Step 3: Cross multiply
    3,171.30x = 4,764.15 × 3,048.90
  4. Step 4: Simplify right side
    3,171.30x = 14,525,416.94
  5. Step 5: Solve for x
    x = 14,525,416.94/3,171.30
  6. Step 6: Final answer
    x = 4,580.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.