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Finding the Fourth Proportional to 3,665.98, 5,497.86 and 1,325.70

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Solution

The fourth proportional to 3,665.98, 5,497.86 and 1,325.70 is: 1,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.98 : 5,497.86 = 1,325.70 : x
  2. Step 2: Convert to fraction form
    3,665.98/5,497.86 = 1,325.70/x
  3. Step 3: Cross multiply
    3,665.98x = 5,497.86 × 1,325.70
  4. Step 4: Simplify right side
    3,665.98x = 7,288,513.00
  5. Step 5: Solve for x
    x = 7,288,513.00/3,665.98
  6. Step 6: Final answer
    x = 1,988.15

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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.