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Finding the Fourth Proportional to 4,013.64, 6,019.84 and 1,549.60

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Solution

The fourth proportional to 4,013.64, 6,019.84 and 1,549.60 is: 2,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.64 : 6,019.84 = 1,549.60 : x
  2. Step 2: Convert to fraction form
    4,013.64/6,019.84 = 1,549.60/x
  3. Step 3: Cross multiply
    4,013.64x = 6,019.84 × 1,549.60
  4. Step 4: Simplify right side
    4,013.64x = 9,328,344.06
  5. Step 5: Solve for x
    x = 9,328,344.06/4,013.64
  6. Step 6: Final answer
    x = 2,324.16

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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.