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Finding the Fourth Proportional to 4,648.64, 6,966.90 and 2,982.08

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Solution

The fourth proportional to 4,648.64, 6,966.90 and 2,982.08 is: 4,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.64 : 6,966.90 = 2,982.08 : x
  2. Step 2: Convert to fraction form
    4,648.64/6,966.90 = 2,982.08/x
  3. Step 3: Cross multiply
    4,648.64x = 6,966.90 × 2,982.08
  4. Step 4: Simplify right side
    4,648.64x = 20,775,853.15
  5. Step 5: Solve for x
    x = 20,775,853.15/4,648.64
  6. Step 6: Final answer
    x = 4,469.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.