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Finding the Fourth Proportional to 3,409.04, 4,704.56 and 2,663.84

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Solution

The fourth proportional to 3,409.04, 4,704.56 and 2,663.84 is: 3,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.04 : 4,704.56 = 2,663.84 : x
  2. Step 2: Convert to fraction form
    3,409.04/4,704.56 = 2,663.84/x
  3. Step 3: Cross multiply
    3,409.04x = 4,704.56 × 2,663.84
  4. Step 4: Simplify right side
    3,409.04x = 12,532,195.11
  5. Step 5: Solve for x
    x = 12,532,195.11/3,409.04
  6. Step 6: Final answer
    x = 3,676.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.