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Finding the Fourth Proportional to 3,800.72, 5,242.41 and 3,302.51

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Solution

The fourth proportional to 3,800.72, 5,242.41 and 3,302.51 is: 4,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.72 : 5,242.41 = 3,302.51 : x
  2. Step 2: Convert to fraction form
    3,800.72/5,242.41 = 3,302.51/x
  3. Step 3: Cross multiply
    3,800.72x = 5,242.41 × 3,302.51
  4. Step 4: Simplify right side
    3,800.72x = 17,313,085.24
  5. Step 5: Solve for x
    x = 17,313,085.24/3,800.72
  6. Step 6: Final answer
    x = 4,555.21

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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.