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Finding the Fourth Proportional to 4,059.84, 6,089.78 and 1,138.14

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Solution

The fourth proportional to 4,059.84, 6,089.78 and 1,138.14 is: 1,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.84 : 6,089.78 = 1,138.14 : x
  2. Step 2: Convert to fraction form
    4,059.84/6,089.78 = 1,138.14/x
  3. Step 3: Cross multiply
    4,059.84x = 6,089.78 × 1,138.14
  4. Step 4: Simplify right side
    4,059.84x = 6,931,022.21
  5. Step 5: Solve for x
    x = 6,931,022.21/4,059.84
  6. Step 6: Final answer
    x = 1,707.22

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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.