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Finding the Fourth Proportional to 5,748.96, 7,933.20 and 3,358.68

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Solution

The fourth proportional to 5,748.96, 7,933.20 and 3,358.68 is: 4,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.96 : 7,933.20 = 3,358.68 : x
  2. Step 2: Convert to fraction form
    5,748.96/7,933.20 = 3,358.68/x
  3. Step 3: Cross multiply
    5,748.96x = 7,933.20 × 3,358.68
  4. Step 4: Simplify right side
    5,748.96x = 26,645,080.18
  5. Step 5: Solve for x
    x = 26,645,080.18/5,748.96
  6. Step 6: Final answer
    x = 4,634.77

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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.