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Finding the Fourth Proportional to 4,100.58, 5,657.13 and 2,859.30

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Solution

The fourth proportional to 4,100.58, 5,657.13 and 2,859.30 is: 3,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.58 : 5,657.13 = 2,859.30 : x
  2. Step 2: Convert to fraction form
    4,100.58/5,657.13 = 2,859.30/x
  3. Step 3: Cross multiply
    4,100.58x = 5,657.13 × 2,859.30
  4. Step 4: Simplify right side
    4,100.58x = 16,175,431.81
  5. Step 5: Solve for x
    x = 16,175,431.81/4,100.58
  6. Step 6: Final answer
    x = 3,944.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.