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Finding the Fourth Proportional to 3,697.55, 5,546.88 and 1,325.46

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Solution

The fourth proportional to 3,697.55, 5,546.88 and 1,325.46 is: 1,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.55 : 5,546.88 = 1,325.46 : x
  2. Step 2: Convert to fraction form
    3,697.55/5,546.88 = 1,325.46/x
  3. Step 3: Cross multiply
    3,697.55x = 5,546.88 × 1,325.46
  4. Step 4: Simplify right side
    3,697.55x = 7,352,188.37
  5. Step 5: Solve for x
    x = 7,352,188.37/3,697.55
  6. Step 6: Final answer
    x = 1,988.40

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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.