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Finding the Fourth Proportional to 4,808.93, 7,213.80 and 1,346.18

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Solution

The fourth proportional to 4,808.93, 7,213.80 and 1,346.18 is: 2,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.93 : 7,213.80 = 1,346.18 : x
  2. Step 2: Convert to fraction form
    4,808.93/7,213.80 = 1,346.18/x
  3. Step 3: Cross multiply
    4,808.93x = 7,213.80 × 1,346.18
  4. Step 4: Simplify right side
    4,808.93x = 9,711,073.28
  5. Step 5: Solve for x
    x = 9,711,073.28/4,808.93
  6. Step 6: Final answer
    x = 2,019.38

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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.