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Finding the Fourth Proportional to 3,653.26, 5,480.43 and 1,056.22

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Solution

The fourth proportional to 3,653.26, 5,480.43 and 1,056.22 is: 1,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.26 : 5,480.43 = 1,056.22 : x
  2. Step 2: Convert to fraction form
    3,653.26/5,480.43 = 1,056.22/x
  3. Step 3: Cross multiply
    3,653.26x = 5,480.43 × 1,056.22
  4. Step 4: Simplify right side
    3,653.26x = 5,788,539.77
  5. Step 5: Solve for x
    x = 5,788,539.77/3,653.26
  6. Step 6: Final answer
    x = 1,584.49

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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.