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Finding the Fourth Proportional to 6,502.98, 8,974.11 and 3,518.81

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Solution

The fourth proportional to 6,502.98, 8,974.11 and 3,518.81 is: 4,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.98 : 8,974.11 = 3,518.81 : x
  2. Step 2: Convert to fraction form
    6,502.98/8,974.11 = 3,518.81/x
  3. Step 3: Cross multiply
    6,502.98x = 8,974.11 × 3,518.81
  4. Step 4: Simplify right side
    6,502.98x = 31,578,156.33
  5. Step 5: Solve for x
    x = 31,578,156.33/6,502.98
  6. Step 6: Final answer
    x = 4,855.95

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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.