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Finding the Fourth Proportional to 4,059.99, 6,090.17 and 1,138.23

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Solution

The fourth proportional to 4,059.99, 6,090.17 and 1,138.23 is: 1,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.99 : 6,090.17 = 1,138.23 : x
  2. Step 2: Convert to fraction form
    4,059.99/6,090.17 = 1,138.23/x
  3. Step 3: Cross multiply
    4,059.99x = 6,090.17 × 1,138.23
  4. Step 4: Simplify right side
    4,059.99x = 6,932,008.51
  5. Step 5: Solve for x
    x = 6,932,008.51/4,059.99
  6. Step 6: Final answer
    x = 1,707.40

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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.