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Finding the Fourth Proportional to 3,270.98, 4,931.13 and 3,059.57

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Solution

The fourth proportional to 3,270.98, 4,931.13 and 3,059.57 is: 4,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.98 : 4,931.13 = 3,059.57 : x
  2. Step 2: Convert to fraction form
    3,270.98/4,931.13 = 3,059.57/x
  3. Step 3: Cross multiply
    3,270.98x = 4,931.13 × 3,059.57
  4. Step 4: Simplify right side
    3,270.98x = 15,087,144.01
  5. Step 5: Solve for x
    x = 15,087,144.01/3,270.98
  6. Step 6: Final answer
    x = 4,612.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.