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Finding the Fourth Proportional to 3,225.54, 4,839.93 and 2,405.46

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Solution

The fourth proportional to 3,225.54, 4,839.93 and 2,405.46 is: 3,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.54 : 4,839.93 = 2,405.46 : x
  2. Step 2: Convert to fraction form
    3,225.54/4,839.93 = 2,405.46/x
  3. Step 3: Cross multiply
    3,225.54x = 4,839.93 × 2,405.46
  4. Step 4: Simplify right side
    3,225.54x = 11,642,258.02
  5. Step 5: Solve for x
    x = 11,642,258.02/3,225.54
  6. Step 6: Final answer
    x = 3,609.40

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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.