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Finding the Fourth Proportional to 4,059.32, 6,089.21 and 1,137.86

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Solution

The fourth proportional to 4,059.32, 6,089.21 and 1,137.86 is: 1,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.32 : 6,089.21 = 1,137.86 : x
  2. Step 2: Convert to fraction form
    4,059.32/6,089.21 = 1,137.86/x
  3. Step 3: Cross multiply
    4,059.32x = 6,089.21 × 1,137.86
  4. Step 4: Simplify right side
    4,059.32x = 6,928,638.04
  5. Step 5: Solve for x
    x = 6,928,638.04/4,059.32
  6. Step 6: Final answer
    x = 1,706.85

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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.