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Finding the Fourth Proportional to 6,674.10, 9,210.31 and 3,689.98

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Solution

The fourth proportional to 6,674.10, 9,210.31 and 3,689.98 is: 5,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.10 : 9,210.31 = 3,689.98 : x
  2. Step 2: Convert to fraction form
    6,674.10/9,210.31 = 3,689.98/x
  3. Step 3: Cross multiply
    6,674.10x = 9,210.31 × 3,689.98
  4. Step 4: Simplify right side
    6,674.10x = 33,985,853.35
  5. Step 5: Solve for x
    x = 33,985,853.35/6,674.10
  6. Step 6: Final answer
    x = 5,092.20

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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.