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Finding the Fourth Proportional to 3,685.06, 5,085.33 and 2,113.06

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Solution

The fourth proportional to 3,685.06, 5,085.33 and 2,113.06 is: 2,915.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.06 : 5,085.33 = 2,113.06 : x
  2. Step 2: Convert to fraction form
    3,685.06/5,085.33 = 2,113.06/x
  3. Step 3: Cross multiply
    3,685.06x = 5,085.33 × 2,113.06
  4. Step 4: Simplify right side
    3,685.06x = 10,745,607.41
  5. Step 5: Solve for x
    x = 10,745,607.41/3,685.06
  6. Step 6: Final answer
    x = 2,915.99

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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.