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Finding the Fourth Proportional to 4,872.92, 6,725.16 and 2,985.74

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Solution

The fourth proportional to 4,872.92, 6,725.16 and 2,985.74 is: 4,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.92 : 6,725.16 = 2,985.74 : x
  2. Step 2: Convert to fraction form
    4,872.92/6,725.16 = 2,985.74/x
  3. Step 3: Cross multiply
    4,872.92x = 6,725.16 × 2,985.74
  4. Step 4: Simplify right side
    4,872.92x = 20,079,579.22
  5. Step 5: Solve for x
    x = 20,079,579.22/4,872.92
  6. Step 6: Final answer
    x = 4,120.65

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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.