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Finding the Fourth Proportional to 4,059.84, 6,089.64 and 1,138.08

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Solution

The fourth proportional to 4,059.84, 6,089.64 and 1,138.08 is: 1,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.84 : 6,089.64 = 1,138.08 : x
  2. Step 2: Convert to fraction form
    4,059.84/6,089.64 = 1,138.08/x
  3. Step 3: Cross multiply
    4,059.84x = 6,089.64 × 1,138.08
  4. Step 4: Simplify right side
    4,059.84x = 6,930,497.49
  5. Step 5: Solve for x
    x = 6,930,497.49/4,059.84
  6. Step 6: Final answer
    x = 1,707.09

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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.