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Finding the Fourth Proportional to 3,347.54, 5,017.25 and 2,416.64

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Solution

The fourth proportional to 3,347.54, 5,017.25 and 2,416.64 is: 3,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.54 : 5,017.25 = 2,416.64 : x
  2. Step 2: Convert to fraction form
    3,347.54/5,017.25 = 2,416.64/x
  3. Step 3: Cross multiply
    3,347.54x = 5,017.25 × 2,416.64
  4. Step 4: Simplify right side
    3,347.54x = 12,124,905.62
  5. Step 5: Solve for x
    x = 12,124,905.62/3,347.54
  6. Step 6: Final answer
    x = 3,622.04

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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.