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Finding the Fourth Proportional to 4,564.93, 6,847.44 and 1,444.88

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Solution

The fourth proportional to 4,564.93, 6,847.44 and 1,444.88 is: 2,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.93 : 6,847.44 = 1,444.88 : x
  2. Step 2: Convert to fraction form
    4,564.93/6,847.44 = 1,444.88/x
  3. Step 3: Cross multiply
    4,564.93x = 6,847.44 × 1,444.88
  4. Step 4: Simplify right side
    4,564.93x = 9,893,729.11
  5. Step 5: Solve for x
    x = 9,893,729.11/4,564.93
  6. Step 6: Final answer
    x = 2,167.33

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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.