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Finding the Fourth Proportional to 6,114.72, 8,435.84 and 3,752.80

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Solution

The fourth proportional to 6,114.72, 8,435.84 and 3,752.80 is: 5,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.72 : 8,435.84 = 3,752.80 : x
  2. Step 2: Convert to fraction form
    6,114.72/8,435.84 = 3,752.80/x
  3. Step 3: Cross multiply
    6,114.72x = 8,435.84 × 3,752.80
  4. Step 4: Simplify right side
    6,114.72x = 31,658,020.35
  5. Step 5: Solve for x
    x = 31,658,020.35/6,114.72
  6. Step 6: Final answer
    x = 5,177.35

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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.