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Finding the Fourth Proportional to 3,405.69, 5,106.11 and 1,456.83

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Solution

The fourth proportional to 3,405.69, 5,106.11 and 1,456.83 is: 2,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.69 : 5,106.11 = 1,456.83 : x
  2. Step 2: Convert to fraction form
    3,405.69/5,106.11 = 1,456.83/x
  3. Step 3: Cross multiply
    3,405.69x = 5,106.11 × 1,456.83
  4. Step 4: Simplify right side
    3,405.69x = 7,438,726.95
  5. Step 5: Solve for x
    x = 7,438,726.95/3,405.69
  6. Step 6: Final answer
    x = 2,184.21

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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.