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Finding the Fourth Proportional to 3,841.60, 5,301.30 and 2,349.64

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Solution

The fourth proportional to 3,841.60, 5,301.30 and 2,349.64 is: 3,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.60 : 5,301.30 = 2,349.64 : x
  2. Step 2: Convert to fraction form
    3,841.60/5,301.30 = 2,349.64/x
  3. Step 3: Cross multiply
    3,841.60x = 5,301.30 × 2,349.64
  4. Step 4: Simplify right side
    3,841.60x = 12,456,146.53
  5. Step 5: Solve for x
    x = 12,456,146.53/3,841.60
  6. Step 6: Final answer
    x = 3,242.44

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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.