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Finding the Fourth Proportional to 3,182.30, 4,768.23 and 3,060.80

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Solution

The fourth proportional to 3,182.30, 4,768.23 and 3,060.80 is: 4,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.30 : 4,768.23 = 3,060.80 : x
  2. Step 2: Convert to fraction form
    3,182.30/4,768.23 = 3,060.80/x
  3. Step 3: Cross multiply
    3,182.30x = 4,768.23 × 3,060.80
  4. Step 4: Simplify right side
    3,182.30x = 14,594,598.38
  5. Step 5: Solve for x
    x = 14,594,598.38/3,182.30
  6. Step 6: Final answer
    x = 4,586.18

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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.