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Finding the Fourth Proportional to 5,484.96, 7,569.99 and 3,361.76

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Solution

The fourth proportional to 5,484.96, 7,569.99 and 3,361.76 is: 4,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.96 : 7,569.99 = 3,361.76 : x
  2. Step 2: Convert to fraction form
    5,484.96/7,569.99 = 3,361.76/x
  3. Step 3: Cross multiply
    5,484.96x = 7,569.99 × 3,361.76
  4. Step 4: Simplify right side
    5,484.96x = 25,448,451.73
  5. Step 5: Solve for x
    x = 25,448,451.73/5,484.96
  6. Step 6: Final answer
    x = 4,639.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.