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Finding the Fourth Proportional to 6,506.25, 8,979.51 and 3,674.21

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Solution

The fourth proportional to 6,506.25, 8,979.51 and 3,674.21 is: 5,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.25 : 8,979.51 = 3,674.21 : x
  2. Step 2: Convert to fraction form
    6,506.25/8,979.51 = 3,674.21/x
  3. Step 3: Cross multiply
    6,506.25x = 8,979.51 × 3,674.21
  4. Step 4: Simplify right side
    6,506.25x = 32,992,560.54
  5. Step 5: Solve for x
    x = 32,992,560.54/6,506.25
  6. Step 6: Final answer
    x = 5,070.90

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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.