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Finding the Fourth Proportional to 3,549.41, 5,324.01 and 1,468.86

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Solution

The fourth proportional to 3,549.41, 5,324.01 and 1,468.86 is: 2,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.41 : 5,324.01 = 1,468.86 : x
  2. Step 2: Convert to fraction form
    3,549.41/5,324.01 = 1,468.86/x
  3. Step 3: Cross multiply
    3,549.41x = 5,324.01 × 1,468.86
  4. Step 4: Simplify right side
    3,549.41x = 7,820,225.33
  5. Step 5: Solve for x
    x = 7,820,225.33/3,549.41
  6. Step 6: Final answer
    x = 2,203.25

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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.