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Finding the Fourth Proportional to 4,881.50, 7,316.16 and 2,380.62

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Solution

The fourth proportional to 4,881.50, 7,316.16 and 2,380.62 is: 3,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.50 : 7,316.16 = 2,380.62 : x
  2. Step 2: Convert to fraction form
    4,881.50/7,316.16 = 2,380.62/x
  3. Step 3: Cross multiply
    4,881.50x = 7,316.16 × 2,380.62
  4. Step 4: Simplify right side
    4,881.50x = 17,417,015.33
  5. Step 5: Solve for x
    x = 17,417,015.33/4,881.50
  6. Step 6: Final answer
    x = 3,567.96

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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.