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Finding the Fourth Proportional to 4,527.97, 6,760.98 and 4,056.40

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Solution

The fourth proportional to 4,527.97, 6,760.98 and 4,056.40 is: 6,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.97 : 6,760.98 = 4,056.40 : x
  2. Step 2: Convert to fraction form
    4,527.97/6,760.98 = 4,056.40/x
  3. Step 3: Cross multiply
    4,527.97x = 6,760.98 × 4,056.40
  4. Step 4: Simplify right side
    4,527.97x = 27,425,239.27
  5. Step 5: Solve for x
    x = 27,425,239.27/4,527.97
  6. Step 6: Final answer
    x = 6,056.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.