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Finding the Fourth Proportional to 3,137.37, 4,706.59 and 945.91

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Solution

The fourth proportional to 3,137.37, 4,706.59 and 945.91 is: 1,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.37 : 4,706.59 = 945.91 : x
  2. Step 2: Convert to fraction form
    3,137.37/4,706.59 = 945.91/x
  3. Step 3: Cross multiply
    3,137.37x = 4,706.59 × 945.91
  4. Step 4: Simplify right side
    3,137.37x = 4,452,010.55
  5. Step 5: Solve for x
    x = 4,452,010.55/3,137.37
  6. Step 6: Final answer
    x = 1,419.03

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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.