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Finding the Fourth Proportional to 6,418.34, 8,856.68 and 3,585.49

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Solution

The fourth proportional to 6,418.34, 8,856.68 and 3,585.49 is: 4,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.34 : 8,856.68 = 3,585.49 : x
  2. Step 2: Convert to fraction form
    6,418.34/8,856.68 = 3,585.49/x
  3. Step 3: Cross multiply
    6,418.34x = 8,856.68 × 3,585.49
  4. Step 4: Simplify right side
    6,418.34x = 31,755,475.36
  5. Step 5: Solve for x
    x = 31,755,475.36/6,418.34
  6. Step 6: Final answer
    x = 4,947.62

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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.