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Finding the Fourth Proportional to 5,157.14, 7,735.70 and 1,870.22

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Solution

The fourth proportional to 5,157.14, 7,735.70 and 1,870.22 is: 2,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.14 : 7,735.70 = 1,870.22 : x
  2. Step 2: Convert to fraction form
    5,157.14/7,735.70 = 1,870.22/x
  3. Step 3: Cross multiply
    5,157.14x = 7,735.70 × 1,870.22
  4. Step 4: Simplify right side
    5,157.14x = 14,467,460.85
  5. Step 5: Solve for x
    x = 14,467,460.85/5,157.14
  6. Step 6: Final answer
    x = 2,805.33

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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.