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Finding the Fourth Proportional to 5,748.41, 7,928.04 and 4,854.21

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Solution

The fourth proportional to 5,748.41, 7,928.04 and 4,854.21 is: 6,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.41 : 7,928.04 = 4,854.21 : x
  2. Step 2: Convert to fraction form
    5,748.41/7,928.04 = 4,854.21/x
  3. Step 3: Cross multiply
    5,748.41x = 7,928.04 × 4,854.21
  4. Step 4: Simplify right side
    5,748.41x = 38,484,371.05
  5. Step 5: Solve for x
    x = 38,484,371.05/5,748.41
  6. Step 6: Final answer
    x = 6,694.79

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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.