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Finding the Fourth Proportional to 3,460.56, 5,191.66 and 1,380.68

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Solution

The fourth proportional to 3,460.56, 5,191.66 and 1,380.68 is: 2,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.56 : 5,191.66 = 1,380.68 : x
  2. Step 2: Convert to fraction form
    3,460.56/5,191.66 = 1,380.68/x
  3. Step 3: Cross multiply
    3,460.56x = 5,191.66 × 1,380.68
  4. Step 4: Simplify right side
    3,460.56x = 7,168,021.13
  5. Step 5: Solve for x
    x = 7,168,021.13/3,460.56
  6. Step 6: Final answer
    x = 2,071.35

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