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Finding the Fourth Proportional to 3,697.72, 5,546.10 and 1,065.46

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Solution

The fourth proportional to 3,697.72, 5,546.10 and 1,065.46 is: 1,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.72 : 5,546.10 = 1,065.46 : x
  2. Step 2: Convert to fraction form
    3,697.72/5,546.10 = 1,065.46/x
  3. Step 3: Cross multiply
    3,697.72x = 5,546.10 × 1,065.46
  4. Step 4: Simplify right side
    3,697.72x = 5,909,147.71
  5. Step 5: Solve for x
    x = 5,909,147.71/3,697.72
  6. Step 6: Final answer
    x = 1,598.05

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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.