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Finding the Fourth Proportional to 3,756.54, 5,635.32 and 3,549.28

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Solution

The fourth proportional to 3,756.54, 5,635.32 and 3,549.28 is: 5,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.54 : 5,635.32 = 3,549.28 : x
  2. Step 2: Convert to fraction form
    3,756.54/5,635.32 = 3,549.28/x
  3. Step 3: Cross multiply
    3,756.54x = 5,635.32 × 3,549.28
  4. Step 4: Simplify right side
    3,756.54x = 20,001,328.57
  5. Step 5: Solve for x
    x = 20,001,328.57/3,756.54
  6. Step 6: Final answer
    x = 5,324.40

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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.