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Finding the Fourth Proportional to 4,188.98, 6,281.64 and 2,107.68

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Solution

The fourth proportional to 4,188.98, 6,281.64 and 2,107.68 is: 3,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.98 : 6,281.64 = 2,107.68 : x
  2. Step 2: Convert to fraction form
    4,188.98/6,281.64 = 2,107.68/x
  3. Step 3: Cross multiply
    4,188.98x = 6,281.64 × 2,107.68
  4. Step 4: Simplify right side
    4,188.98x = 13,239,687.00
  5. Step 5: Solve for x
    x = 13,239,687.00/4,188.98
  6. Step 6: Final answer
    x = 3,160.60

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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.