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Finding the Fourth Proportional to 6,137.55, 8,470.31 and 3,485.61

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Solution

The fourth proportional to 6,137.55, 8,470.31 and 3,485.61 is: 4,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.55 : 8,470.31 = 3,485.61 : x
  2. Step 2: Convert to fraction form
    6,137.55/8,470.31 = 3,485.61/x
  3. Step 3: Cross multiply
    6,137.55x = 8,470.31 × 3,485.61
  4. Step 4: Simplify right side
    6,137.55x = 29,524,179.81
  5. Step 5: Solve for x
    x = 29,524,179.81/6,137.55
  6. Step 6: Final answer
    x = 4,810.42

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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.