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Finding the Fourth Proportional to 6,051.70, 8,349.78 and 3,813.40

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Solution

The fourth proportional to 6,051.70, 8,349.78 and 3,813.40 is: 5,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.70 : 8,349.78 = 3,813.40 : x
  2. Step 2: Convert to fraction form
    6,051.70/8,349.78 = 3,813.40/x
  3. Step 3: Cross multiply
    6,051.70x = 8,349.78 × 3,813.40
  4. Step 4: Simplify right side
    6,051.70x = 31,841,051.05
  5. Step 5: Solve for x
    x = 31,841,051.05/6,051.70
  6. Step 6: Final answer
    x = 5,261.51

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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.