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Finding the Fourth Proportional to 4,005.76, 5,527.53 and 2,327.52

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Solution

The fourth proportional to 4,005.76, 5,527.53 and 2,327.52 is: 3,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.76 : 5,527.53 = 2,327.52 : x
  2. Step 2: Convert to fraction form
    4,005.76/5,527.53 = 2,327.52/x
  3. Step 3: Cross multiply
    4,005.76x = 5,527.53 × 2,327.52
  4. Step 4: Simplify right side
    4,005.76x = 12,865,415.90
  5. Step 5: Solve for x
    x = 12,865,415.90/4,005.76
  6. Step 6: Final answer
    x = 3,211.73

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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.