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Finding the Fourth Proportional to 4,449.56, 6,674.46 and 1,527.82

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Solution

The fourth proportional to 4,449.56, 6,674.46 and 1,527.82 is: 2,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.56 : 6,674.46 = 1,527.82 : x
  2. Step 2: Convert to fraction form
    4,449.56/6,674.46 = 1,527.82/x
  3. Step 3: Cross multiply
    4,449.56x = 6,674.46 × 1,527.82
  4. Step 4: Simplify right side
    4,449.56x = 10,197,373.48
  5. Step 5: Solve for x
    x = 10,197,373.48/4,449.56
  6. Step 6: Final answer
    x = 2,291.77

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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.