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Finding the Fourth Proportional to 3,527.80, 4,866.14 and 2,270.48

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Solution

The fourth proportional to 3,527.80, 4,866.14 and 2,270.48 is: 3,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.80 : 4,866.14 = 2,270.48 : x
  2. Step 2: Convert to fraction form
    3,527.80/4,866.14 = 2,270.48/x
  3. Step 3: Cross multiply
    3,527.80x = 4,866.14 × 2,270.48
  4. Step 4: Simplify right side
    3,527.80x = 11,048,491.39
  5. Step 5: Solve for x
    x = 11,048,491.39/3,527.80
  6. Step 6: Final answer
    x = 3,131.84

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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.