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Finding the Fourth Proportional to 3,455.29, 4,774.67 and 3,284.60

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Solution

The fourth proportional to 3,455.29, 4,774.67 and 3,284.60 is: 4,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.29 : 4,774.67 = 3,284.60 : x
  2. Step 2: Convert to fraction form
    3,455.29/4,774.67 = 3,284.60/x
  3. Step 3: Cross multiply
    3,455.29x = 4,774.67 × 3,284.60
  4. Step 4: Simplify right side
    3,455.29x = 15,682,868.41
  5. Step 5: Solve for x
    x = 15,682,868.41/3,455.29
  6. Step 6: Final answer
    x = 4,538.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.