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Finding the Fourth Proportional to 3,407.49, 5,112.68 and 1,460.61

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Solution

The fourth proportional to 3,407.49, 5,112.68 and 1,460.61 is: 2,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.49 : 5,112.68 = 1,460.61 : x
  2. Step 2: Convert to fraction form
    3,407.49/5,112.68 = 1,460.61/x
  3. Step 3: Cross multiply
    3,407.49x = 5,112.68 × 1,460.61
  4. Step 4: Simplify right side
    3,407.49x = 7,467,631.53
  5. Step 5: Solve for x
    x = 7,467,631.53/3,407.49
  6. Step 6: Final answer
    x = 2,191.53

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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.