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Finding the Fourth Proportional to 3,737.76, 5,628.89 and 3,256.62

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Solution

The fourth proportional to 3,737.76, 5,628.89 and 3,256.62 is: 4,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.76 : 5,628.89 = 3,256.62 : x
  2. Step 2: Convert to fraction form
    3,737.76/5,628.89 = 3,256.62/x
  3. Step 3: Cross multiply
    3,737.76x = 5,628.89 × 3,256.62
  4. Step 4: Simplify right side
    3,737.76x = 18,331,139.47
  5. Step 5: Solve for x
    x = 18,331,139.47/3,737.76
  6. Step 6: Final answer
    x = 4,904.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.