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Finding the Fourth Proportional to 3,617.98, 5,428.00 and 1,152.99

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Solution

The fourth proportional to 3,617.98, 5,428.00 and 1,152.99 is: 1,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.98 : 5,428.00 = 1,152.99 : x
  2. Step 2: Convert to fraction form
    3,617.98/5,428.00 = 1,152.99/x
  3. Step 3: Cross multiply
    3,617.98x = 5,428.00 × 1,152.99
  4. Step 4: Simplify right side
    3,617.98x = 6,258,423.96
  5. Step 5: Solve for x
    x = 6,258,423.96/3,617.98
  6. Step 6: Final answer
    x = 1,729.81

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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.