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Finding the Fourth Proportional to 4,876.08, 6,725.40 and 4,205.12

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Solution

The fourth proportional to 4,876.08, 6,725.40 and 4,205.12 is: 5,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.08 : 6,725.40 = 4,205.12 : x
  2. Step 2: Convert to fraction form
    4,876.08/6,725.40 = 4,205.12/x
  3. Step 3: Cross multiply
    4,876.08x = 6,725.40 × 4,205.12
  4. Step 4: Simplify right side
    4,876.08x = 28,281,114.05
  5. Step 5: Solve for x
    x = 28,281,114.05/4,876.08
  6. Step 6: Final answer
    x = 5,799.97

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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.