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Finding the Fourth Proportional to 4,901.22, 7,352.74 and 1,614.45

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Solution

The fourth proportional to 4,901.22, 7,352.74 and 1,614.45 is: 2,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.22 : 7,352.74 = 1,614.45 : x
  2. Step 2: Convert to fraction form
    4,901.22/7,352.74 = 1,614.45/x
  3. Step 3: Cross multiply
    4,901.22x = 7,352.74 × 1,614.45
  4. Step 4: Simplify right side
    4,901.22x = 11,870,631.09
  5. Step 5: Solve for x
    x = 11,870,631.09/4,901.22
  6. Step 6: Final answer
    x = 2,421.97

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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.