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Finding the Fourth Proportional to 3,406.84, 5,111.80 and 1,740.11

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Solution

The fourth proportional to 3,406.84, 5,111.80 and 1,740.11 is: 2,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.84 : 5,111.80 = 1,740.11 : x
  2. Step 2: Convert to fraction form
    3,406.84/5,111.80 = 1,740.11/x
  3. Step 3: Cross multiply
    3,406.84x = 5,111.80 × 1,740.11
  4. Step 4: Simplify right side
    3,406.84x = 8,895,094.30
  5. Step 5: Solve for x
    x = 8,895,094.30/3,406.84
  6. Step 6: Final answer
    x = 2,610.95

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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.