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Finding the Fourth Proportional to 3,257.94, 4,496.46 and 2,424.18

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Solution

The fourth proportional to 3,257.94, 4,496.46 and 2,424.18 is: 3,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.94 : 4,496.46 = 2,424.18 : x
  2. Step 2: Convert to fraction form
    3,257.94/4,496.46 = 2,424.18/x
  3. Step 3: Cross multiply
    3,257.94x = 4,496.46 × 2,424.18
  4. Step 4: Simplify right side
    3,257.94x = 10,900,228.40
  5. Step 5: Solve for x
    x = 10,900,228.40/3,257.94
  6. Step 6: Final answer
    x = 3,345.74

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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.