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Finding the Fourth Proportional to 5,195.42, 7,164.00 and 3,513.90

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Solution

The fourth proportional to 5,195.42, 7,164.00 and 3,513.90 is: 4,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.42 : 7,164.00 = 3,513.90 : x
  2. Step 2: Convert to fraction form
    5,195.42/7,164.00 = 3,513.90/x
  3. Step 3: Cross multiply
    5,195.42x = 7,164.00 × 3,513.90
  4. Step 4: Simplify right side
    5,195.42x = 25,173,601.90
  5. Step 5: Solve for x
    x = 25,173,601.90/5,195.42
  6. Step 6: Final answer
    x = 4,845.35

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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.