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Finding the Fourth Proportional to 3,670.68, 5,505.99 and 1,330.14

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Solution

The fourth proportional to 3,670.68, 5,505.99 and 1,330.14 is: 1,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.68 : 5,505.99 = 1,330.14 : x
  2. Step 2: Convert to fraction form
    3,670.68/5,505.99 = 1,330.14/x
  3. Step 3: Cross multiply
    3,670.68x = 5,505.99 × 1,330.14
  4. Step 4: Simplify right side
    3,670.68x = 7,323,713.79
  5. Step 5: Solve for x
    x = 7,323,713.79/3,670.68
  6. Step 6: Final answer
    x = 1,995.19

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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.