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Finding the Fourth Proportional to 3,409.69, 5,113.59 and 1,461.44

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Solution

The fourth proportional to 3,409.69, 5,113.59 and 1,461.44 is: 2,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.69 : 5,113.59 = 1,461.44 : x
  2. Step 2: Convert to fraction form
    3,409.69/5,113.59 = 1,461.44/x
  3. Step 3: Cross multiply
    3,409.69x = 5,113.59 × 1,461.44
  4. Step 4: Simplify right side
    3,409.69x = 7,473,204.97
  5. Step 5: Solve for x
    x = 7,473,204.97/3,409.69
  6. Step 6: Final answer
    x = 2,191.75

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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.