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Finding the Fourth Proportional to 3,349.60, 5,000.00 and 3,102.55

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Solution

The fourth proportional to 3,349.60, 5,000.00 and 3,102.55 is: 4,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.60 : 5,000.00 = 3,102.55 : x
  2. Step 2: Convert to fraction form
    3,349.60/5,000.00 = 3,102.55/x
  3. Step 3: Cross multiply
    3,349.60x = 5,000.00 × 3,102.55
  4. Step 4: Simplify right side
    3,349.60x = 15,512,739.44
  5. Step 5: Solve for x
    x = 15,512,739.44/3,349.60
  6. Step 6: Final answer
    x = 4,631.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.