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Finding the Fourth Proportional to 4,607.99, 6,911.93 and 2,141.44

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Solution

The fourth proportional to 4,607.99, 6,911.93 and 2,141.44 is: 3,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.99 : 6,911.93 = 2,141.44 : x
  2. Step 2: Convert to fraction form
    4,607.99/6,911.93 = 2,141.44/x
  3. Step 3: Cross multiply
    4,607.99x = 6,911.93 × 2,141.44
  4. Step 4: Simplify right side
    4,607.99x = 14,801,471.45
  5. Step 5: Solve for x
    x = 14,801,471.45/4,607.99
  6. Step 6: Final answer
    x = 3,212.13

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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.