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Finding the Fourth Proportional to 4,323.49, 5,966.51 and 2,409.43

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Solution

The fourth proportional to 4,323.49, 5,966.51 and 2,409.43 is: 3,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.49 : 5,966.51 = 2,409.43 : x
  2. Step 2: Convert to fraction form
    4,323.49/5,966.51 = 2,409.43/x
  3. Step 3: Cross multiply
    4,323.49x = 5,966.51 × 2,409.43
  4. Step 4: Simplify right side
    4,323.49x = 14,375,899.88
  5. Step 5: Solve for x
    x = 14,375,899.88/4,323.49
  6. Step 6: Final answer
    x = 3,325.07

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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.