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Finding the Fourth Proportional to 3,624.72, 5,437.44 and 1,434.96

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Solution

The fourth proportional to 3,624.72, 5,437.44 and 1,434.96 is: 2,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.72 : 5,437.44 = 1,434.96 : x
  2. Step 2: Convert to fraction form
    3,624.72/5,437.44 = 1,434.96/x
  3. Step 3: Cross multiply
    3,624.72x = 5,437.44 × 1,434.96
  4. Step 4: Simplify right side
    3,624.72x = 7,802,508.90
  5. Step 5: Solve for x
    x = 7,802,508.90/3,624.72
  6. Step 6: Final answer
    x = 2,152.58

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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.