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Finding the Fourth Proportional to 3,563.88, 5,346.74 and 1,617.45

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Solution

The fourth proportional to 3,563.88, 5,346.74 and 1,617.45 is: 2,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.88 : 5,346.74 = 1,617.45 : x
  2. Step 2: Convert to fraction form
    3,563.88/5,346.74 = 1,617.45/x
  3. Step 3: Cross multiply
    3,563.88x = 5,346.74 × 1,617.45
  4. Step 4: Simplify right side
    3,563.88x = 8,648,084.61
  5. Step 5: Solve for x
    x = 8,648,084.61/3,563.88
  6. Step 6: Final answer
    x = 2,426.59

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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.