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Finding the Fourth Proportional to 3,771.04, 5,206.14 and 2,513.80

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Solution

The fourth proportional to 3,771.04, 5,206.14 and 2,513.80 is: 3,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.04 : 5,206.14 = 2,513.80 : x
  2. Step 2: Convert to fraction form
    3,771.04/5,206.14 = 2,513.80/x
  3. Step 3: Cross multiply
    3,771.04x = 5,206.14 × 2,513.80
  4. Step 4: Simplify right side
    3,771.04x = 13,087,194.73
  5. Step 5: Solve for x
    x = 13,087,194.73/3,771.04
  6. Step 6: Final answer
    x = 3,470.45

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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.