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Finding the Fourth Proportional to 5,490.32, 8,216.04 and 4,842.32

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Solution

The fourth proportional to 5,490.32, 8,216.04 and 4,842.32 is: 7,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.32 : 8,216.04 = 4,842.32 : x
  2. Step 2: Convert to fraction form
    5,490.32/8,216.04 = 4,842.32/x
  3. Step 3: Cross multiply
    5,490.32x = 8,216.04 × 4,842.32
  4. Step 4: Simplify right side
    5,490.32x = 39,784,694.81
  5. Step 5: Solve for x
    x = 39,784,694.81/5,490.32
  6. Step 6: Final answer
    x = 7,246.33

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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.