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Finding the Fourth Proportional to 3,835.56, 5,753.58 and 1,527

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Solution

The fourth proportional to 3,835.56, 5,753.58 and 1,527 is: 2,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.56 : 5,753.58 = 1,527 : x
  2. Step 2: Convert to fraction form
    3,835.56/5,753.58 = 1,527/x
  3. Step 3: Cross multiply
    3,835.56x = 5,753.58 × 1,527
  4. Step 4: Simplify right side
    3,835.56x = 8,785,716.66
  5. Step 5: Solve for x
    x = 8,785,716.66/3,835.56
  6. Step 6: Final answer
    x = 2,290.60

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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.