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Finding the Fourth Proportional to 6,285.24, 8,674.02 and 3,490.74

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Solution

The fourth proportional to 6,285.24, 8,674.02 and 3,490.74 is: 4,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.24 : 8,674.02 = 3,490.74 : x
  2. Step 2: Convert to fraction form
    6,285.24/8,674.02 = 3,490.74/x
  3. Step 3: Cross multiply
    6,285.24x = 8,674.02 × 3,490.74
  4. Step 4: Simplify right side
    6,285.24x = 30,278,748.57
  5. Step 5: Solve for x
    x = 30,278,748.57/6,285.24
  6. Step 6: Final answer
    x = 4,817.44

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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.