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Finding the Fourth Proportional to 3,783.45, 5,216.61 and 3,154.89

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Solution

The fourth proportional to 3,783.45, 5,216.61 and 3,154.89 is: 4,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.45 : 5,216.61 = 3,154.89 : x
  2. Step 2: Convert to fraction form
    3,783.45/5,216.61 = 3,154.89/x
  3. Step 3: Cross multiply
    3,783.45x = 5,216.61 × 3,154.89
  4. Step 4: Simplify right side
    3,783.45x = 16,457,830.72
  5. Step 5: Solve for x
    x = 16,457,830.72/3,783.45
  6. Step 6: Final answer
    x = 4,349.95

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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.