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Finding the Fourth Proportional to 5,107.90, 7,646.97 and 3,797.45

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Solution

The fourth proportional to 5,107.90, 7,646.97 and 3,797.45 is: 5,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.90 : 7,646.97 = 3,797.45 : x
  2. Step 2: Convert to fraction form
    5,107.90/7,646.97 = 3,797.45/x
  3. Step 3: Cross multiply
    5,107.90x = 7,646.97 × 3,797.45
  4. Step 4: Simplify right side
    5,107.90x = 29,038,986.23
  5. Step 5: Solve for x
    x = 29,038,986.23/5,107.90
  6. Step 6: Final answer
    x = 5,685.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.