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Finding the Fourth Proportional to 3,527.56, 4,863.36 and 2,927.80

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Solution

The fourth proportional to 3,527.56, 4,863.36 and 2,927.80 is: 4,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.56 : 4,863.36 = 2,927.80 : x
  2. Step 2: Convert to fraction form
    3,527.56/4,863.36 = 2,927.80/x
  3. Step 3: Cross multiply
    3,527.56x = 4,863.36 × 2,927.80
  4. Step 4: Simplify right side
    3,527.56x = 14,238,945.41
  5. Step 5: Solve for x
    x = 14,238,945.41/3,527.56
  6. Step 6: Final answer
    x = 4,036.49

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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.