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Finding the Fourth Proportional to 3,646.04, 5,472.32 and 2,606

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Solution

The fourth proportional to 3,646.04, 5,472.32 and 2,606 is: 3,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.04 : 5,472.32 = 2,606 : x
  2. Step 2: Convert to fraction form
    3,646.04/5,472.32 = 2,606/x
  3. Step 3: Cross multiply
    3,646.04x = 5,472.32 × 2,606
  4. Step 4: Simplify right side
    3,646.04x = 14,260,865.92
  5. Step 5: Solve for x
    x = 14,260,865.92/3,646.04
  6. Step 6: Final answer
    x = 3,911.33

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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.