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Finding the Fourth Proportional to 3,670.53, 5,505.81 and 897.22

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Solution

The fourth proportional to 3,670.53, 5,505.81 and 897.22 is: 1,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.53 : 5,505.81 = 897.22 : x
  2. Step 2: Convert to fraction form
    3,670.53/5,505.81 = 897.22/x
  3. Step 3: Cross multiply
    3,670.53x = 5,505.81 × 897.22
  4. Step 4: Simplify right side
    3,670.53x = 4,939,922.85
  5. Step 5: Solve for x
    x = 4,939,922.85/3,670.53
  6. Step 6: Final answer
    x = 1,345.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.