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Finding the Fourth Proportional to 3,661.56, 5,492.52 and 1,064.55

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Solution

The fourth proportional to 3,661.56, 5,492.52 and 1,064.55 is: 1,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.56 : 5,492.52 = 1,064.55 : x
  2. Step 2: Convert to fraction form
    3,661.56/5,492.52 = 1,064.55/x
  3. Step 3: Cross multiply
    3,661.56x = 5,492.52 × 1,064.55
  4. Step 4: Simplify right side
    3,661.56x = 5,847,062.17
  5. Step 5: Solve for x
    x = 5,847,062.17/3,661.56
  6. Step 6: Final answer
    x = 1,596.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.