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Finding the Fourth Proportional to 3,549.77, 5,325.34 and 1,209.68

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Solution

The fourth proportional to 3,549.77, 5,325.34 and 1,209.68 is: 1,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.77 : 5,325.34 = 1,209.68 : x
  2. Step 2: Convert to fraction form
    3,549.77/5,325.34 = 1,209.68/x
  3. Step 3: Cross multiply
    3,549.77x = 5,325.34 × 1,209.68
  4. Step 4: Simplify right side
    3,549.77x = 6,441,957.29
  5. Step 5: Solve for x
    x = 6,441,957.29/3,549.77
  6. Step 6: Final answer
    x = 1,814.75

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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.