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Finding the Fourth Proportional to 5,683.64, 7,843.40 and 3,165.78

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Solution

The fourth proportional to 5,683.64, 7,843.40 and 3,165.78 is: 4,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.64 : 7,843.40 = 3,165.78 : x
  2. Step 2: Convert to fraction form
    5,683.64/7,843.40 = 3,165.78/x
  3. Step 3: Cross multiply
    5,683.64x = 7,843.40 × 3,165.78
  4. Step 4: Simplify right side
    5,683.64x = 24,830,463.02
  5. Step 5: Solve for x
    x = 24,830,463.02/5,683.64
  6. Step 6: Final answer
    x = 4,368.76

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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.