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Finding the Fourth Proportional to 3,661.66, 5,492.22 and 1,064.26

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Solution

The fourth proportional to 3,661.66, 5,492.22 and 1,064.26 is: 1,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.66 : 5,492.22 = 1,064.26 : x
  2. Step 2: Convert to fraction form
    3,661.66/5,492.22 = 1,064.26/x
  3. Step 3: Cross multiply
    3,661.66x = 5,492.22 × 1,064.26
  4. Step 4: Simplify right side
    3,661.66x = 5,845,150.06
  5. Step 5: Solve for x
    x = 5,845,150.06/3,661.66
  6. Step 6: Final answer
    x = 1,596.31

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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.