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Finding the Fourth Proportional to 3,004.68, 4,507.71 and 1,056.88

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Solution

The fourth proportional to 3,004.68, 4,507.71 and 1,056.88 is: 1,585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.68 : 4,507.71 = 1,056.88 : x
  2. Step 2: Convert to fraction form
    3,004.68/4,507.71 = 1,056.88/x
  3. Step 3: Cross multiply
    3,004.68x = 4,507.71 × 1,056.88
  4. Step 4: Simplify right side
    3,004.68x = 4,764,108.54
  5. Step 5: Solve for x
    x = 4,764,108.54/3,004.68
  6. Step 6: Final answer
    x = 1,585.56

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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.