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Finding the Fourth Proportional to 3,852.76, 5,313.18 and 2,527.60

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Solution

The fourth proportional to 3,852.76, 5,313.18 and 2,527.60 is: 3,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.76 : 5,313.18 = 2,527.60 : x
  2. Step 2: Convert to fraction form
    3,852.76/5,313.18 = 2,527.60/x
  3. Step 3: Cross multiply
    3,852.76x = 5,313.18 × 2,527.60
  4. Step 4: Simplify right side
    3,852.76x = 13,429,593.77
  5. Step 5: Solve for x
    x = 13,429,593.77/3,852.76
  6. Step 6: Final answer
    x = 3,485.71

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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.