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Finding the Fourth Proportional to 3,670.37, 5,505.49 and 897.05

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Solution

The fourth proportional to 3,670.37, 5,505.49 and 897.05 is: 1,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.37 : 5,505.49 = 897.05 : x
  2. Step 2: Convert to fraction form
    3,670.37/5,505.49 = 897.05/x
  3. Step 3: Cross multiply
    3,670.37x = 5,505.49 × 897.05
  4. Step 4: Simplify right side
    3,670.37x = 4,938,699.80
  5. Step 5: Solve for x
    x = 4,938,699.80/3,670.37
  6. Step 6: Final answer
    x = 1,345.56

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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.