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Finding the Fourth Proportional to 5,130.90, 7,684.20 and 3,162.60

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Solution

The fourth proportional to 5,130.90, 7,684.20 and 3,162.60 is: 4,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.90 : 7,684.20 = 3,162.60 : x
  2. Step 2: Convert to fraction form
    5,130.90/7,684.20 = 3,162.60/x
  3. Step 3: Cross multiply
    5,130.90x = 7,684.20 × 3,162.60
  4. Step 4: Simplify right side
    5,130.90x = 24,302,050.92
  5. Step 5: Solve for x
    x = 24,302,050.92/5,130.90
  6. Step 6: Final answer
    x = 4,736.41

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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.