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Finding the Fourth Proportional to 3,653.26, 5,450.98 and 3,569.22

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Solution

The fourth proportional to 3,653.26, 5,450.98 and 3,569.22 is: 5,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.26 : 5,450.98 = 3,569.22 : x
  2. Step 2: Convert to fraction form
    3,653.26/5,450.98 = 3,569.22/x
  3. Step 3: Cross multiply
    3,653.26x = 5,450.98 × 3,569.22
  4. Step 4: Simplify right side
    3,653.26x = 19,455,746.84
  5. Step 5: Solve for x
    x = 19,455,746.84/3,653.26
  6. Step 6: Final answer
    x = 5,325.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.