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Finding the Fourth Proportional to 5,237.85, 7,858.03 and 1,540.20

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Solution

The fourth proportional to 5,237.85, 7,858.03 and 1,540.20 is: 2,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.85 : 7,858.03 = 1,540.20 : x
  2. Step 2: Convert to fraction form
    5,237.85/7,858.03 = 1,540.20/x
  3. Step 3: Cross multiply
    5,237.85x = 7,858.03 × 1,540.20
  4. Step 4: Simplify right side
    5,237.85x = 12,102,937.81
  5. Step 5: Solve for x
    x = 12,102,937.81/5,237.85
  6. Step 6: Final answer
    x = 2,310.67

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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.