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Finding the Fourth Proportional to 6,098.60, 8,420.16 and 3,830.90

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Solution

The fourth proportional to 6,098.60, 8,420.16 and 3,830.90 is: 5,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.60 : 8,420.16 = 3,830.90 : x
  2. Step 2: Convert to fraction form
    6,098.60/8,420.16 = 3,830.90/x
  3. Step 3: Cross multiply
    6,098.60x = 8,420.16 × 3,830.90
  4. Step 4: Simplify right side
    6,098.60x = 32,256,790.94
  5. Step 5: Solve for x
    x = 32,256,790.94/6,098.60
  6. Step 6: Final answer
    x = 5,289.21

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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.