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Finding the Fourth Proportional to 4,709.94, 6,500.02 and 2,614.07

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Solution

The fourth proportional to 4,709.94, 6,500.02 and 2,614.07 is: 3,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.94 : 6,500.02 = 2,614.07 : x
  2. Step 2: Convert to fraction form
    4,709.94/6,500.02 = 2,614.07/x
  3. Step 3: Cross multiply
    4,709.94x = 6,500.02 × 2,614.07
  4. Step 4: Simplify right side
    4,709.94x = 16,991,474.78
  5. Step 5: Solve for x
    x = 16,991,474.78/4,709.94
  6. Step 6: Final answer
    x = 3,607.58

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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.