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Finding the Fourth Proportional to 3,721.34, 5,582.03 and 1,256.22

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Solution

The fourth proportional to 3,721.34, 5,582.03 and 1,256.22 is: 1,884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.34 : 5,582.03 = 1,256.22 : x
  2. Step 2: Convert to fraction form
    3,721.34/5,582.03 = 1,256.22/x
  3. Step 3: Cross multiply
    3,721.34x = 5,582.03 × 1,256.22
  4. Step 4: Simplify right side
    3,721.34x = 7,012,251.45
  5. Step 5: Solve for x
    x = 7,012,251.45/3,721.34
  6. Step 6: Final answer
    x = 1,884.33

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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.