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Finding the Fourth Proportional to 4,257.66, 6,385.98 and 1,137.90

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Solution

The fourth proportional to 4,257.66, 6,385.98 and 1,137.90 is: 1,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.66 : 6,385.98 = 1,137.90 : x
  2. Step 2: Convert to fraction form
    4,257.66/6,385.98 = 1,137.90/x
  3. Step 3: Cross multiply
    4,257.66x = 6,385.98 × 1,137.90
  4. Step 4: Simplify right side
    4,257.66x = 7,266,606.64
  5. Step 5: Solve for x
    x = 7,266,606.64/4,257.66
  6. Step 6: Final answer
    x = 1,706.71

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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.