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Finding the Fourth Proportional to 4,059.63, 6,089.13 and 1,137.78

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Solution

The fourth proportional to 4,059.63, 6,089.13 and 1,137.78 is: 1,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.63 : 6,089.13 = 1,137.78 : x
  2. Step 2: Convert to fraction form
    4,059.63/6,089.13 = 1,137.78/x
  3. Step 3: Cross multiply
    4,059.63x = 6,089.13 × 1,137.78
  4. Step 4: Simplify right side
    4,059.63x = 6,928,090.33
  5. Step 5: Solve for x
    x = 6,928,090.33/4,059.63
  6. Step 6: Final answer
    x = 1,706.58

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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.