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Finding the Fourth Proportional to 3,614.30, 4,990.05 and 2,952.74

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Solution

The fourth proportional to 3,614.30, 4,990.05 and 2,952.74 is: 4,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.30 : 4,990.05 = 2,952.74 : x
  2. Step 2: Convert to fraction form
    3,614.30/4,990.05 = 2,952.74/x
  3. Step 3: Cross multiply
    3,614.30x = 4,990.05 × 2,952.74
  4. Step 4: Simplify right side
    3,614.30x = 14,734,320.24
  5. Step 5: Solve for x
    x = 14,734,320.24/3,614.30
  6. Step 6: Final answer
    x = 4,076.67

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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.