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Finding the Fourth Proportional to 4,589.64, 6,328.92 and 3,928.68

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Solution

The fourth proportional to 4,589.64, 6,328.92 and 3,928.68 is: 5,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.64 : 6,328.92 = 3,928.68 : x
  2. Step 2: Convert to fraction form
    4,589.64/6,328.92 = 3,928.68/x
  3. Step 3: Cross multiply
    4,589.64x = 6,328.92 × 3,928.68
  4. Step 4: Simplify right side
    4,589.64x = 24,864,301.43
  5. Step 5: Solve for x
    x = 24,864,301.43/4,589.64
  6. Step 6: Final answer
    x = 5,417.48

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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.