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Finding the Fourth Proportional to 5,234.20, 7,862.10 and 5,050.60

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Solution

The fourth proportional to 5,234.20, 7,862.10 and 5,050.60 is: 7,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.20 : 7,862.10 = 5,050.60 : x
  2. Step 2: Convert to fraction form
    5,234.20/7,862.10 = 5,050.60/x
  3. Step 3: Cross multiply
    5,234.20x = 7,862.10 × 5,050.60
  4. Step 4: Simplify right side
    5,234.20x = 39,708,322.26
  5. Step 5: Solve for x
    x = 39,708,322.26/5,234.20
  6. Step 6: Final answer
    x = 7,586.32

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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.