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Finding the Fourth Proportional to 3,284.84, 4,537.50 and 3,051.56

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Solution

The fourth proportional to 3,284.84, 4,537.50 and 3,051.56 is: 4,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.84 : 4,537.50 = 3,051.56 : x
  2. Step 2: Convert to fraction form
    3,284.84/4,537.50 = 3,051.56/x
  3. Step 3: Cross multiply
    3,284.84x = 4,537.50 × 3,051.56
  4. Step 4: Simplify right side
    3,284.84x = 13,846,453.50
  5. Step 5: Solve for x
    x = 13,846,453.50/3,284.84
  6. Step 6: Final answer
    x = 4,215.26

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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.