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Finding the Fourth Proportional to 4,157.46, 6,238.89 and 1,560.38

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Solution

The fourth proportional to 4,157.46, 6,238.89 and 1,560.38 is: 2,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.46 : 6,238.89 = 1,560.38 : x
  2. Step 2: Convert to fraction form
    4,157.46/6,238.89 = 1,560.38/x
  3. Step 3: Cross multiply
    4,157.46x = 6,238.89 × 1,560.38
  4. Step 4: Simplify right side
    4,157.46x = 9,735,007.98
  5. Step 5: Solve for x
    x = 9,735,007.98/4,157.46
  6. Step 6: Final answer
    x = 2,341.58

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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.