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Finding the Fourth Proportional to 6,149.42, 8,483.50 and 4,159.26

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Solution

The fourth proportional to 6,149.42, 8,483.50 and 4,159.26 is: 5,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.42 : 8,483.50 = 4,159.26 : x
  2. Step 2: Convert to fraction form
    6,149.42/8,483.50 = 4,159.26/x
  3. Step 3: Cross multiply
    6,149.42x = 8,483.50 × 4,159.26
  4. Step 4: Simplify right side
    6,149.42x = 35,285,082.21
  5. Step 5: Solve for x
    x = 35,285,082.21/6,149.42
  6. Step 6: Final answer
    x = 5,737.95

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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.