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Finding the Fourth Proportional to 6,504.04, 8,974.98 and 3,985

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Solution

The fourth proportional to 6,504.04, 8,974.98 and 3,985 is: 5,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.04 : 8,974.98 = 3,985 : x
  2. Step 2: Convert to fraction form
    6,504.04/8,974.98 = 3,985/x
  3. Step 3: Cross multiply
    6,504.04x = 8,974.98 × 3,985
  4. Step 4: Simplify right side
    6,504.04x = 35,765,295.30
  5. Step 5: Solve for x
    x = 35,765,295.30/6,504.04
  6. Step 6: Final answer
    x = 5,498.94

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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.