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Finding the Fourth Proportional to 5,527, 7,633.74 and 3,660.76

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Solution

The fourth proportional to 5,527, 7,633.74 and 3,660.76 is: 5,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527 : 7,633.74 = 3,660.76 : x
  2. Step 2: Convert to fraction form
    5,527/7,633.74 = 3,660.76/x
  3. Step 3: Cross multiply
    5,527x = 7,633.74 × 3,660.76
  4. Step 4: Simplify right side
    5,527x = 27,945,290.04
  5. Step 5: Solve for x
    x = 27,945,290.04/5,527
  6. Step 6: Final answer
    x = 5,056.14

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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.