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Finding the Fourth Proportional to 3,876.12, 5,799.72 and 2,316.96

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Solution

The fourth proportional to 3,876.12, 5,799.72 and 2,316.96 is: 3,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.12 : 5,799.72 = 2,316.96 : x
  2. Step 2: Convert to fraction form
    3,876.12/5,799.72 = 2,316.96/x
  3. Step 3: Cross multiply
    3,876.12x = 5,799.72 × 2,316.96
  4. Step 4: Simplify right side
    3,876.12x = 13,437,719.25
  5. Step 5: Solve for x
    x = 13,437,719.25/3,876.12
  6. Step 6: Final answer
    x = 3,466.80

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1.5x scale

Why These Related Problems?

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