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Finding the Fourth Proportional to 3,396.32, 5,085.84 and 3,111.20

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Solution

The fourth proportional to 3,396.32, 5,085.84 and 3,111.20 is: 4,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.32 : 5,085.84 = 3,111.20 : x
  2. Step 2: Convert to fraction form
    3,396.32/5,085.84 = 3,111.20/x
  3. Step 3: Cross multiply
    3,396.32x = 5,085.84 × 3,111.20
  4. Step 4: Simplify right side
    3,396.32x = 15,823,065.41
  5. Step 5: Solve for x
    x = 15,823,065.41/3,396.32
  6. Step 6: Final answer
    x = 4,658.89

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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.