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Finding the Fourth Proportional to 4,435.96, 6,653.96 and 1,148.82

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Solution

The fourth proportional to 4,435.96, 6,653.96 and 1,148.82 is: 1,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.96 : 6,653.96 = 1,148.82 : x
  2. Step 2: Convert to fraction form
    4,435.96/6,653.96 = 1,148.82/x
  3. Step 3: Cross multiply
    4,435.96x = 6,653.96 × 1,148.82
  4. Step 4: Simplify right side
    4,435.96x = 7,644,202.33
  5. Step 5: Solve for x
    x = 7,644,202.33/4,435.96
  6. Step 6: Final answer
    x = 1,723.24

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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.