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Finding the Fourth Proportional to 3,897.60, 5,847.42 and 1,706.76

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Solution

The fourth proportional to 3,897.60, 5,847.42 and 1,706.76 is: 2,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.60 : 5,847.42 = 1,706.76 : x
  2. Step 2: Convert to fraction form
    3,897.60/5,847.42 = 1,706.76/x
  3. Step 3: Cross multiply
    3,897.60x = 5,847.42 × 1,706.76
  4. Step 4: Simplify right side
    3,897.60x = 9,980,142.56
  5. Step 5: Solve for x
    x = 9,980,142.56/3,897.60
  6. Step 6: Final answer
    x = 2,560.59

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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.