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Finding the Fourth Proportional to 3,735.36, 5,596.32 and 3,005.28

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Solution

The fourth proportional to 3,735.36, 5,596.32 and 3,005.28 is: 4,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.36 : 5,596.32 = 3,005.28 : x
  2. Step 2: Convert to fraction form
    3,735.36/5,596.32 = 3,005.28/x
  3. Step 3: Cross multiply
    3,735.36x = 5,596.32 × 3,005.28
  4. Step 4: Simplify right side
    3,735.36x = 16,818,508.57
  5. Step 5: Solve for x
    x = 16,818,508.57/3,735.36
  6. Step 6: Final answer
    x = 4,502.51

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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.