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Finding the Fourth Proportional to 3,614.76, 4,989.54 and 2,122.64

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Solution

The fourth proportional to 3,614.76, 4,989.54 and 2,122.64 is: 2,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.76 : 4,989.54 = 2,122.64 : x
  2. Step 2: Convert to fraction form
    3,614.76/4,989.54 = 2,122.64/x
  3. Step 3: Cross multiply
    3,614.76x = 4,989.54 × 2,122.64
  4. Step 4: Simplify right side
    3,614.76x = 10,590,972.24
  5. Step 5: Solve for x
    x = 10,590,972.24/3,614.76
  6. Step 6: Final answer
    x = 2,929.92

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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.