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Finding the Fourth Proportional to 4,674.56, 7,011.32 and 1,387.64

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Solution

The fourth proportional to 4,674.56, 7,011.32 and 1,387.64 is: 2,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.56 : 7,011.32 = 1,387.64 : x
  2. Step 2: Convert to fraction form
    4,674.56/7,011.32 = 1,387.64/x
  3. Step 3: Cross multiply
    4,674.56x = 7,011.32 × 1,387.64
  4. Step 4: Simplify right side
    4,674.56x = 9,729,188.08
  5. Step 5: Solve for x
    x = 9,729,188.08/4,674.56
  6. Step 6: Final answer
    x = 2,081.31

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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.