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Finding the Fourth Proportional to 4,475.49, 6,703.02 and 2,137.14

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Solution

The fourth proportional to 4,475.49, 6,703.02 and 2,137.14 is: 3,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.49 : 6,703.02 = 2,137.14 : x
  2. Step 2: Convert to fraction form
    4,475.49/6,703.02 = 2,137.14/x
  3. Step 3: Cross multiply
    4,475.49x = 6,703.02 × 2,137.14
  4. Step 4: Simplify right side
    4,475.49x = 14,325,292.16
  5. Step 5: Solve for x
    x = 14,325,292.16/4,475.49
  6. Step 6: Final answer
    x = 3,200.83

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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.