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Finding the Fourth Proportional to 3,670.58, 5,505.75 and 897.26

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Solution

The fourth proportional to 3,670.58, 5,505.75 and 897.26 is: 1,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.58 : 5,505.75 = 897.26 : x
  2. Step 2: Convert to fraction form
    3,670.58/5,505.75 = 897.26/x
  3. Step 3: Cross multiply
    3,670.58x = 5,505.75 × 897.26
  4. Step 4: Simplify right side
    3,670.58x = 4,940,061.72
  5. Step 5: Solve for x
    x = 4,940,061.72/3,670.58
  6. Step 6: Final answer
    x = 1,345.85

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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.