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Finding the Fourth Proportional to 3,670.95, 5,506.30 and 897.64

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Solution

The fourth proportional to 3,670.95, 5,506.30 and 897.64 is: 1,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.95 : 5,506.30 = 897.64 : x
  2. Step 2: Convert to fraction form
    3,670.95/5,506.30 = 897.64/x
  3. Step 3: Cross multiply
    3,670.95x = 5,506.30 × 897.64
  4. Step 4: Simplify right side
    3,670.95x = 4,942,659.12
  5. Step 5: Solve for x
    x = 4,942,659.12/3,670.95
  6. Step 6: Final answer
    x = 1,346.43

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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.