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Finding the Fourth Proportional to 3,020, 4,527.16 and 2,749.46

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Solution

The fourth proportional to 3,020, 4,527.16 and 2,749.46 is: 4,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020 : 4,527.16 = 2,749.46 : x
  2. Step 2: Convert to fraction form
    3,020/4,527.16 = 2,749.46/x
  3. Step 3: Cross multiply
    3,020x = 4,527.16 × 2,749.46
  4. Step 4: Simplify right side
    3,020x = 12,447,245.33
  5. Step 5: Solve for x
    x = 12,447,245.33/3,020
  6. Step 6: Final answer
    x = 4,121.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.