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Finding the Fourth Proportional to 4,901.86, 7,352.82 and 1,204.09

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Solution

The fourth proportional to 4,901.86, 7,352.82 and 1,204.09 is: 1,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.86 : 7,352.82 = 1,204.09 : x
  2. Step 2: Convert to fraction form
    4,901.86/7,352.82 = 1,204.09/x
  3. Step 3: Cross multiply
    4,901.86x = 7,352.82 × 1,204.09
  4. Step 4: Simplify right side
    4,901.86x = 8,853,461.71
  5. Step 5: Solve for x
    x = 8,853,461.71/4,901.86
  6. Step 6: Final answer
    x = 1,806.14

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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.