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Finding the Fourth Proportional to 5,739.12, 7,911 and 3,748.68

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Solution

The fourth proportional to 5,739.12, 7,911 and 3,748.68 is: 5,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.12 : 7,911 = 3,748.68 : x
  2. Step 2: Convert to fraction form
    5,739.12/7,911 = 3,748.68/x
  3. Step 3: Cross multiply
    5,739.12x = 7,911 × 3,748.68
  4. Step 4: Simplify right side
    5,739.12x = 29,655,807.48
  5. Step 5: Solve for x
    x = 29,655,807.48/5,739.12
  6. Step 6: Final answer
    x = 5,167.31

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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.