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Finding the Fourth Proportional to 3,409.08, 5,113.92 and 1,460.82

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Solution

The fourth proportional to 3,409.08, 5,113.92 and 1,460.82 is: 2,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.08 : 5,113.92 = 1,460.82 : x
  2. Step 2: Convert to fraction form
    3,409.08/5,113.92 = 1,460.82/x
  3. Step 3: Cross multiply
    3,409.08x = 5,113.92 × 1,460.82
  4. Step 4: Simplify right side
    3,409.08x = 7,470,516.61
  5. Step 5: Solve for x
    x = 7,470,516.61/3,409.08
  6. Step 6: Final answer
    x = 2,191.36

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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.