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Finding the Fourth Proportional to 6,664.88, 9,994.44 and 2,558

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Solution

The fourth proportional to 6,664.88, 9,994.44 and 2,558 is: 3,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.88 : 9,994.44 = 2,558 : x
  2. Step 2: Convert to fraction form
    6,664.88/9,994.44 = 2,558/x
  3. Step 3: Cross multiply
    6,664.88x = 9,994.44 × 2,558
  4. Step 4: Simplify right side
    6,664.88x = 25,565,777.52
  5. Step 5: Solve for x
    x = 25,565,777.52/6,664.88
  6. Step 6: Final answer
    x = 3,835.89

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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.