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Finding the Fourth Proportional to 6,000.54, 8,281.74 and 4,581.90

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Solution

The fourth proportional to 6,000.54, 8,281.74 and 4,581.90 is: 6,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.54 : 8,281.74 = 4,581.90 : x
  2. Step 2: Convert to fraction form
    6,000.54/8,281.74 = 4,581.90/x
  3. Step 3: Cross multiply
    6,000.54x = 8,281.74 × 4,581.90
  4. Step 4: Simplify right side
    6,000.54x = 37,946,104.51
  5. Step 5: Solve for x
    x = 37,946,104.51/6,000.54
  6. Step 6: Final answer
    x = 6,323.78

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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.